While I was scrolling through some tweets today, I came across someone's tweet regarding Bitcoin

Firstly, I don't think he's a Bitcoiner because he said "password" . Bitcoin wallets are mostly about recovery phrases or private keys.
I think that he may not be informed on the fact that one can back up his/her unique phrase or private keys in various places so they don't get into such trouble of misplacing it(which is what most of us are doing).
But then; Secondly, he is also making a point. We are all getting excited, and probably even buying more, but we've forgotten that we need to be more conscious of our backup. Most of don't even back up properly, we just screenshot our phrases forgetting that screenshots can be seen by others and even be deleted by anyone. Let's be cautious about our backups, check them if they still exist where you kept them and be sure if you need to replace them.
Asking about password when it comes to a coin like Bitcoin shows he have limited knowledge and understanding of Bitcoin because there is nothing like password, however there is only private keys, and this is what makes the owner of the private keys to have the sole power to access his wallet anytime any day and from anywhere in the world. In addition, there are mobile wallet developers who adds some sort of additional security like pin, biometric or password such that, no unauthorized person can access the wallet and steal the funds, but should in any case the person gets hold of the private keys, funds will be stolen; thus I don't think private keys can be likened to password. Lastly, I agree with you, it is very important to be mindful of how we save our private keys, screenshots are not worth it but saving in a paper form offline and kept in various locations or secret place is the best way.