I've run AEV beadlocks on the TJ for years in the stock 44s. Never any issues.
I've run AEV beadlocks on the JKU for a few years on the 44s. Never any issues.
I now have the Hutchinsons on the TJ and don't have issues. It's not driven as much as the previously mentioned setups.
All on 37s.
I also run balance beads, they seem to work fine. I'll say it may be a matter of better balanced tires.
Additionally, I think all the bad folklore around beadlocks are from the DIY and modified setups. Wheels designed as beadlocks should be fine, imho. If not, then get new wheels.