So I think it is very safe and easy to deposit money from bitcoins bank insurance.
Bitcoin bank insurance?

Sure, it is easy to deposit to CEX if we want to buy Bitcoin. Safe or not, it depend on how we do it. Keeping Bitcoin in non-custodial wallet will be safer.
I think that Bitcoin is not controlled by any law or government or is not connected to a bank, so you can freely deposit your money in Bitcoin Wallet. Just remember it so that you don't forget what the wallet is in any way. And notice the Bitcoin market movements.
It isn't your think, but it is the fact. Bitcoin is decentralized, so it is clear that there is no people/person/institution that control Bitcoin.
We have 2 types of wallets (Custodial and Non Custodial). For the safety reason, Non Custodial wallet is better for holding Bitcoin. However, we don't forget to keep the key phrase in a safety place.
In the future, this Bitcoin will be the main focus of your biggest financial support.
Bitcoin has been my main asset since few years ago. No doubt that Bitcoin can be trusted as a financial support. But we don't rely on Bitcoin only, we must have varied type of assets. Diversification is the best way to deal with the risks.