Yes, I would never trust any wallet besides the private key to any crypto coins. And use web wallets just for immediate maneuvers since ALL of those webwallets omniwallet, blockchain info, etc etc etc etc etc etc… are each exposed to insecure and corrupt internet.
This being said, just stick to the old fashioned paper, and secure that digit in the best physical way possible. If the private key is not digital your crypto assets can never be accessed by anyone except yourself. From the perspective of an attacker: It’s like trying to pull a Mountain into reality directly from a dream.