Interacting with himself is fine. Do you want my Loki to retain his 5 years of CR with various other characters? Because he got into a relationship with another himself... and then they broke up rather terribly. And if we're taking him straight from canon, my Loki also tends to be much more out of control, than after 5 years of relative quiet.

*heads over to the sandbox to type Thor's prompt 14 thingy*