Please let us rename systems the same way we can rename planets. Honestly, there is no reason not to, even if I don't own the system I should be able to call a hego system "Poopville" or something more fitting rp, either way. Mostly I would want to rename my own systems though.
From an RP perspective factions should be able to call any planet or system whatever they want regardless of ownership, just kinda like how we do now with countries and since it's a single player game there is no loss at all.