AFAIK, notoriety is only given out for your own crimes, not that of team/wing mates.
You can see how you get a bounty each time you kill NPC, and like I said you can kill 4-5 npcs on foot while doing a mission without getting any notoriety. It's when you go crazy and kill everyone that you really start building up notoriety. Unless you do it against anarchy settlements where you don't get any notoriety at all.
But the notoriety by itself doesn't matter all that much, all it means is that you have to wait before you can get rid of the bounties on your head by going to an interstellar factor. But of course if you base yourself on a station belonging to the same faction that you are going to attack, then things will become hard as you'll get locked out of the mission board and being notorious there is no way to pay it off, except I suppose by going to jail.
If you just move to a new system then neither bounties nor notoriety matters much at all.