This misconception is exactly why I made my comment. If you go to Uniswap right now you won't have access to any of these tokens. You are just about as safe as using Charles Schwab.
My Schwab account has insurance and oversight…there’s no universe where Uniswap is anywhere close to as safe as Schwab.
Uniswap is open source, and if you use it as an exchange, it doesn't even hold your funds. I'd argue that since your funds are not there, then your funds are safer than with a custodian and insurance. Lehman was also insured, wasn't it?