I'm OK with it when it is official policy or you were warned beforehand that "No really. If you lose this and you're fucked - we will not provide support for account recovery." Precisely for the same security reason of preventing social engineering attacks for otherwise well-secured assets. But, and it is common with most places, you can jump through some hoops and get it removed my support. I still blame myself for losing my backup codes - but being told Support can help and then being ignored is well... annoying to say the least.
I use cock.li [0] for my emails. This is the official password recovery process:
> I forgot my password!
> Passwords are not reset for any reason. Good luck.
Many years ago - I forgot my password to my email! It was the kick in the ass I needed to begin using a password manager - and since the email was mostly for memes and not really used it was mostly a positive experience with a positive outcome. I occasionally try to login to the email but so far no luck in remembering my password. :)