dump the dunlop tires and get Michelin's. Lops follow every road irregularity....there are plenty of other tires that do not track with rain grooves, tar snakes, etc.
I have Michelin Commanders and agree with your statement. There is a major difference in the wat they track compared to the lop's.
I have found that Lop's are the worst when it comes to tracking over rain groove, metal grates, tar snakes etc.