2 account in the same Metamask wallet, can one be anonymous?

Hey everyone, maybe this is a newbie question, but if I create a secondary account on my Metamask can I use it as an anonymous wallet?
I mean, my primary account has already received withdrawals from my Binance and such, so it’s not anonymous anymore… but a secondary account could act as an entirely new wallet, right?
The secondary account should not be connected to the first one if I don’t move funds between the 2?

I guess what confuses me is that the wallet is still only one, you need just one seed word to reimport whatever number of accounts you have created…

Anyone can shed light on this for me? Thanks!