No, try mode is like training, practice. You can try any hero you don’t own or own, have tools to instantly go to lvl 20 etc… to test it, should you buy it or not. 1 lane map, training dummies etc.
vs AI counts as a normal game, counts towards daily or event objectives, gives exp, you can play only heroes you have… or are free rotation… etc… just like a normal game but vs AI.
Regarding OP, yes… just another day in solo que QM