Might be a silly question but if these tyres have differing weights or widths etc is your suspension setup for the changes? I don't dabble in suspension personally(im on the edge of doing it myself to have a go) but I know from many years it makes a difference i have a feeling mine is slightly too hard but im so near stock weight its small difference(as far as im aware anyway) but i ride street, michelins have been fine for me the 2ct's grip in the wet
looking at those pics i'm assuming it's either cold or hot tear(too little or too much air) or your suspension, potentially not the tyre, get more pics up of your own tyres, the pics you showed I'm guessing Shock Rebound Tear but yea im no expert, cheapest quickest is probably check the pressures first :)
i had to make changes to suspension when i switch to a different brand & type of tire, by not doing so you won't be able to maximize what the tires has to offer.
the pics of the 2 R10's above are hot tears, tears in general are the result of many factors (rubber compound, tire construction, track surface condition, track temperature, tire pressure, suspension setup, geometry), their initial sessions were run with pressures a bit lower than what is recommended, raising the pressure alleviated the problem but not by much, suspension was ok, the problem was the compound was too soft for our track surface & temps, we live at the equator so you can imagine how hot it gets here plus our tracks are abrasive they eat through tires quick.
on the ZX10R i'm tuning (i'm a suspension tuner for a superbike rider) i started with high pressures & the tear isn't as bad as the one above but still it did tear, they just lost grip sooner than we did that is why i'm witholding our tire pressure info from the other racers as we are going to race for another 2 seasons using the same gad damn tires.
if we were allowed to use another brand i would have no hesitation to run Power Cups or Supercorsa SC's, everybody on the northern hemisphere who is running R10's aren't having the problems we are experiencing.