if you want to be safe in the long run and you don't want to use a 3rd party wallet you can choose another option. there are nano ledger and trezor as hardware wallets that are able to secure your assets in the long term. in 3rd party online wallets there are still risks even if you have kept your password or private key correctly and safely. So, in my opinion, the most important thing is how you keep the password or private key for your assets, it's your own policy choice