Create New SOL Wallet To Hide from Copy Traders?

Using Phantom for my SOL and I see my wallet address posted in some groups that follow wallets and copy trade them. I’d like to generate a new wallet so they won’t know it’s my wallet.

Exchange A -SOL-> Phantom Wallet 1 (seed 1)

Exchange A -SOL-> Phantom Wallet 2 (seed 2)

if I generate a new phantom wallet/seed, and supply my SOL from same exchange wallet, will the arkham-type websites show my two SOL wallets on Phantom as being connected, because I fed them from same exchange wallet?

Or do I need to feed Wallet 2 from diff exchange to break the connection seen on analytics sites?