My guess is that going IPV6 only for load balancers would make it break for enough people that AWS thinks it would reflect poorly on their service.
People can of course manually test here [1] from their homes, schools, work place. I would wager most cellular data networks would be fine. The impact would probably depend on how a website is utilized. Stats on mobile vs. non-mobile would probably be telling. The people on their cell should test LTE vs Wifi and clear cache between tests.
[1] - https://test-ipv6.com/
While AWS is a bit (just a bit) more removed from the end user than Cloudflare, there is still the potential for it not being good PR.