I personally suggest Online wallets than offline wallets, because no.1 you can keep your private keys and seed password without browsing the internet, unlike online wallets just be extra careful when putting a url address
Let me fix your statement,
You prefer offline wallets than online wallets by seeing the reason you mentioned above.
in general offline wallet may be safer than with online wallet but they have their respective weaknesses so that we need not be afraid to use them
The weakness or disadvantage of offline wallets is that it's not synced to any online devices so that you can't use it anytime, but safer, that's it.