Crash Games Strategy: Is there any mathematical proof that auto-cashout at 1.01x works long term?

I know the house always has an edge, but I keep seeing people claim they are grinding out steady profit on Aviator and Dino by setting the auto-cashout super low. It feels like one bad crash at 1.00x would wipe out weeks of progress.

Has anyone actually tracked this strategy over 10,000 rounds, or is it just survivor bias from people who haven't busted yet?