I have a dunlop 170/80-15 WW that Im replacing with a maxxis 170/80-15. Same numbers but could there be a differece in overall dimensions between brands?

I wouldnt have thought so originally, but Ian had a problem with a newer tire rubbing with same numbers/different brand.

My bikes really lowered in the rear and I dont want to pay to have a new tire mounted that will rub obviously.

Any advice? Anyone with a lowered rear and Maxxis 170/80-15? My shocks are cut down to 10-3/8" if i remember correctly