The idea you Ave mentioned is great as it will keep the seed phrase safe and I would probably think of t if I am hodling a huge amount of crypto in a particular wallet. But at the moment it's too much of an hassle for me and as a person who had already lost seed phrase of blockchain wallet in the past by writing and keeping it somewhere I have started a simple strategy of sharing the seed phrase from my personal email to alternative email so it's there in two separate places and also uploads the same in cloud.
Every method has risks, none offer absolute safety, but storing seed phrases online is always an unwise idea. Because the possibility of being attacked will be higher than if we store it offline. Online storage will bring us convenience and easy access anywhere as long as we have an internet connection, however the risk of online attacks is great and we will not be able to prevent it. Meanwhile, by storing offline you will be more proactive when detecting danger.
A question for you, have you ever thought about the main scenario: you can't access your email, and Google suddenly locks or deletes your gmail? You are using centralized services and they have enough rights to do that without asking your permission.