Privacy question when "starting over on a new stash"

I’ve used Bisq 1 for a long time. Only recently installed Bisq 2. I understand that Bisq 2 is currently still only for people with no current Bitcoin to use for security deposit.

Since I’m trying to start a new, separate “Bitcoin stash”, I can’t let it be “polluted” by my existing Bitcoin. I first made a new wallet in Bitcoin Core, and then installed Bisq 2. I intend to buy the initial coins with Bisq 2, just so I get some “untainted” (as in, not related to me) coins into this new wallet to be used for security deposit when using Bisq 1 as before, but this time sending the money to the new Bitcoin Core wallet.

Two questions about this:

  1. Does Bisq 2 (installed on the same Linux system as Bisq 1) in some way “connect” to the Bisq 1 data/wallet/config? Or is it entirely separate with no knowledge or care for the Bisq 1 installation? I’m asking this because somebody seemed to indicate that the Bisq 2 accounts are somehow “tied” to Bisq 1 ones.

  2. Suppose I have already made the initial Bisq 2 trade to get some (expensive) Bitcoin into my new wallet. Should I then really be using Bisq 1 as-is, mixing these new trades with my old trades? It seems like I should be using a whole new “profile” or “data dir” for Bisq 1 specifically for my new trades, to keep everything truly separate. But then I’d still be using the same bank account, name and details as before, so it would be useless from a privacy perspective, no? Perhaps it would even be considered shady to do this? I’m not even sure that Bisq 1 “supports” this other than manually fiddling with the config/datadir files. Advice on how I should deal with this?

Buying at Bisq 2 with 0 reputation, and asking your funds to be sent to an unused btc address that won’t be mixed with old funds, that is very private.
Then you would need a new wallet (or empty the existing one so funds don’t get mixed) and a new tor address in Bisq 1. There’s many ways to do this, and this wiki page shows how: Switching to a new data directory - Bisq Wiki

Using different banking accounts would be better, but it’s not realistic for most cases.