There doesn't seem to be a security benefit of doing this if you encounter having to swap between personal-personal and work-personal.

It doesn't take me many seconds to swap accounts. LastPass allows you to be signed into two accounts at the same time in the same browser?

I forget if LastPass does — 1Password does (though I haven't actually used it in practice, because my work doesn't use 1Password). Idk, maybe it's not actually a problem, but it's how I like to organize things. ::shrug::

Lastpass allows you to link your personal-personal account into your work account, so that you can access your personal-personal data while logged into a work account. Work-personal accounts should be stored in a personal folder in your work account, then work-work accounts are in shared folders that cross multiple users.

I don't know how well this works across business and personal accounts, but you can use "collections" to share passwords between accounts.

I'm using that on my VaultWarden server to share data between different accounts and it works well for me. This may not work in your specific situation if your company manages your Bitwarden account, though.