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I cannot replicate with a LINESTRINGM shapefile. Did you use a shapefile or PostGIS or something else? Please attach a sample if that was a shapefile.

Yes Martin, I used postgis LINESTRINGM data. In current Master, they are displayed correctly.
However, I had also MULTILINESTINGM geometries (not a common type), and it is not displayed.

for instance:

SRID=2154;MULTILINESTRINGM((319564.6 6262840 995533,319554.9 6262870 995564.539557451,319540.7 6262965 995660.626534537,319552 6263000 995697.417559107,319592.1 6263024.5 995744.425133884,319637.1 6263024 995789.442705392,319706.8 6263003.5 995862.118773532,319721.9 6263013.5 995880.235773551,319722 6263028.5 995895.241037957,319742.2 6263058 995931.00597282,319772.3 6263068 995962.734060099,319812.9 6263152.5 996056.512464489,319803.4 6263207.5 996112.34523709,319823.5 6263222.5 996137.433553461,319849.7 6263247 996173.315806586,319849.8 6263267 996193.32263129,319860 6263287 996215.780846753,319880 6263287 996235.787421377,319899.9 6263281.5 996256.440273382,319920 6263296.5 996281.528589754,319945 6263306 996308.281539633,320034.4 6263244.5 996416.828085572,320059.5 6263254.5 996443.85566469,320120.2 6263344 996552.033435582,320161.7 6263418.5 996637.34042346,320162.2 6263478.5 996697.362231313,320157.4 6263499.5 996718.910900389,320137.7 6263539.5 996763.513560727,320113.1 6263579.5 996810.488128825,320073.2 6263585 996850.778658111,320058.3 6263600 996871.928219349,320053.7 6263645 996917.177589447,320069 6263680 996955.388182932,320099.2 6263709.5 996997.619237633,320154.3 6263734 997057.940470188,320279.3 6263748 997183.763375184,320335.4 6263772.5 997245,320355.8 6263817.5 997294.420224218,320356.3 6263877.5 997354.437035633,320341.7 6263927.5 997406.537823616,320357.2 6263992 997472.890371113,320287.9 6264067.5 997575.398403188,320223.3 6264108 997651.662839661,320188.6 6264144.5 997702.037290461,320173.9 6264169.5 997731.045960867,320174.4 6264234.5 997796.063839293,320184.5 6264254.5 997818.474918631,320190.9 6264294 997858.499862888,320122.4 6264469.5 998046.940639057,320048 6264541 998150.153224376,320008.4 6264581.5 998206.809956249,319983.8 6264621.5 998253.780614009,319984.1 6264666.5 998298.792659948,320007.6 6264723 998360,320014.8 6264756 998393.764053119,319995.2 6264806 998447.448919876,319950.7 6264851.5 998511.069338599,319826.3 6264918.5 998652.313303777,319771.9 6264974 998730,319828.2 6265028.5 998808.357587558,319836.3 6265045 998826.738513358,319874 6265123 998913.371389314,319899.2 6265157.5 998956.094703041,319944.5 6265197 999016.197309048,320029.7 6265236.5 999110.108166265,320091 6265281 999185.857182047,320126.3 6265325.5 999242.657930624,320128.8 6265328 999246.193456332,320176.7 6265375 999313.300751888,320302.2 6265453 999461.064579499,320343.4 6265487.5 999514.801685945,320368.9 6265547.5 999579.995476222,320379.4 6265608 999641.399731087,320375 6265688 999721.52045395,320380.4 6265738 999771.811091963,320400.8 6265788 999825.812448216,320502.7 6265902 999978.716017776,320517.8 6265917 1000000))

I still cannot confirm. Used this testing table and the line shows up in canvas:

create table test_multilinestringm (id int);
select addgeometrycolumn('test_multilinestringm', 'geom', -1, 'MULTILINESTRINGM', 3);
insert into test_multilinestringm values (1, st_geomfromtext('MULTILINESTRINGM((319564.6 6262840 995533,319554.9 6262870 995564.539557451,319540.7 6262965 995660.626534537,319552 6263000 995697.417559107,319592.1 6263024.5 995744.425133884,319637.1 6263024 995789.442705392,319706.8 6263003.5 995862.118773532,319721.9 6263013.5 995880.235773551,319722 6263028.5 995895.241037957,319742.2 6263058 995931.00597282,319772.3 6263068 995962.734060099,319812.9 6263152.5 996056.512464489,319803.4 6263207.5 996112.34523709,319823.5 6263222.5 996137.433553461,319849.7 6263247 996173.315806586,319849.8 6263267 996193.32263129,319860 6263287 996215.780846753,319880 6263287 996235.787421377,319899.9 6263281.5 996256.440273382,319920 6263296.5 996281.528589754,319945 6263306 996308.281539633,320034.4 6263244.5 996416.828085572,320059.5 6263254.5 996443.85566469,320120.2 6263344 996552.033435582,320161.7 6263418.5 996637.34042346,320162.2 6263478.5 996697.362231313,320157.4 6263499.5 996718.910900389,320137.7 6263539.5 996763.513560727,320113.1 6263579.5 996810.488128825,320073.2 6263585 996850.778658111,320058.3 6263600 996871.928219349,320053.7 6263645 996917.177589447,320069 6263680 996955.388182932,320099.2 6263709.5 996997.619237633,320154.3 6263734 997057.940470188,320279.3 6263748 997183.763375184,320335.4 6263772.5 997245,320355.8 6263817.5 997294.420224218,320356.3 6263877.5 997354.437035633,320341.7 6263927.5 997406.537823616,320357.2 6263992 997472.890371113,320287.9 6264067.5 997575.398403188,320223.3 6264108 997651.662839661,320188.6 6264144.5 997702.037290461,320173.9 6264169.5 997731.045960867,320174.4 6264234.5 997796.063839293,320184.5 6264254.5 997818.474918631,320190.9 6264294 997858.499862888,320122.4 6264469.5 998046.940639057,320048 6264541 998150.153224376,320008.4 6264581.5 998206.809956249,319983.8 6264621.5 998253.780614009,319984.1 6264666.5 998298.792659948,320007.6 6264723 998360,320014.8 6264756 998393.764053119,319995.2 6264806 998447.448919876,319950.7 6264851.5 998511.069338599,319826.3 6264918.5 998652.313303777,319771.9 6264974 998730,319828.2 6265028.5 998808.357587558,319836.3 6265045 998826.738513358,319874 6265123 998913.371389314,319899.2 6265157.5 998956.094703041,319944.5 6265197 999016.197309048,320029.7 6265236.5 999110.108166265,320091 6265281 999185.857182047,320126.3 6265325.5 999242.657930624,320128.8 6265328 999246.193456332,320176.7 6265375 999313.300751888,320302.2 6265453 999461.064579499,320343.4 6265487.5 999514.801685945,320368.9 6265547.5 999579.995476222,320379.4 6265608 999641.399731087,320375 6265688 999721.52045395,320380.4 6265738 999771.811091963,320400.8 6265788 999825.812448216,320502.7 6265902 999978.716017776,320517.8 6265917 1000000))'));