Then IMO utxos being looked up from the same IP would be the only realistic concern (even then I don't think there's been a single proven case of this being exploited). You should be fine chainanalysis-wise on the mixed end if that's your concern. But remember that the fact of you having participated in the coinjoin may be easy to figure out. The government may not know what you did with your mixed coins, but they can audit you just for mixing coins and try to find something else.