I encourage you, as an exercise at least, to think about what you'll do when it doesn't work.

You're sure this is the right web site. But Bitwarden won't fill out the code. What could be wrong? Did the idiots who make this web site change the URL?

Now, maybe you're a far above average user and you would calmly determine the exact cause, assuming at every step that the most likely explanation is you're being phished. Hopefully that's more likely now that you've done this exercise. I would love to believe I'm in this category.

But most users will just be frustrated, why wasn't it filled out? Is there a way to get the code from Bitwarden anyway? There is, it's a bit fiddly but you can do it. Lots of users are going to do that. They might even help each other to give their credentials to bad guys, community spirit.

Hopefully some of those users pause because this is unusual and a few of them will realise in that moment that they're being phished. But experiments suggest most won't.