Storing the password to a vault in the vault itself?

Is there an additional risk associated with storing the master password to a vault inside the vault itself?

I would assume not, since in order to decrypt the vault you must already have that password. But maybe I’m missing something?

And without reuse concerns, anything that can steal the password from the unlocked vault can also just steal the vault itself, so no additional information is being exposed that way.

As to why, besides academic curiosity, I’ve also noticed that sometimes the web version of the vault does not automatically log me in, even if the native app is unlocked. So adding the vault password would simplify that process.