The multisig script is not unique to you, but it’s definitely something identifiable. If you go in from 4-of-7 multisig and out to 4-of-7 segwit multisig, there’s just not that many people using 4-of-7 segwit multisig so you might stand out in a chain analysis. But it wouldn’t be deterministic still

At least that’s how I understand it, definitely find someone more technical than me before you take my word for it