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One thing I'd add, is that you send and receive coins of the same value, and therefore have better control. If you were to do a BTC <-> XMR swap, and a few days later, a XMR <-> BTC swap, you'd likely have receive a different amount, because the market value of XMR/BTC would likely have changed.
The trace on the ETH, if I would use ETH, is not from me.
It doesn't matter if it was from you. What it matters is to not have your bitcoin activity linked to your ethereum balance.