You have it covered and you can stake on centralized platforms if you are fine with the risks that comes with it. What I would say is not to throw all or a significant amount of your money to these staking wallets. Diversify and keep most of your funds to wallets that you completely control.
i like the idea of diversifying staking just like diversifying investments, staking in various platform maybe could easily mitigate the risk involved with staking in general which is losing money because the staking failure.
it just seems makes more sense from my point of view. but then again only diversify staking in trusted platform like binance or the likes.