Nope tyres won't matter.My Traction light and ABS lights come on when I go above 120 or when I cane it round a corner it started ever since I had the two front tyres changed at a local numpty tyre place (I had to get best deal for semi decent tyres as my funds are woeful and 3 points a tyre and a fine for my bald ones wouldn't have been a better option)
I've got it booked in to be looked at under warranty but apparently the fact the front tyres are 84V and back are 80V can cause problems with sensors.