I wonder how many high speed aborts also result in a blown tyres somewhere during the RTO braking?
Pretty much none.
There is plenty of data on this. It is a certification requirement that RTO can be carried out at the maximum allowable V1 without stryuctural damage, and that includes "Exploding" tires.
Hava a look on Utube at some of the RTO testing Airbus and Boeing do on much heavier aircraft that the 737. You will get brake fires before you get tire faiures.
Max Autobrake is still less braking than RTO, so I do not see why there should be any risk of "Blown Tires" implied by it's use, even at the high speeds you mention.