Lynette & Eddie are back!! I hope all is well with you, Lynette, and thanks for sharing more Eddie stories here on Weeds & Wildflowers. He is as adorable as ever and now he has a BIG puppy companion - we are getting two for one.
If the cats were already in the the house before Eddie, they established their dominance. The outdoor cats are different because they are not dominant outside - there are many other animals larger and fiercer than they are, so they are naturally submissive unless attacked, when they will fight to protect themselves.
I assume you don't have big, scary animals in the house, so the house cats are in charge and they let Eddie know that. If he were truly a threat to them, say if he were at Rottweiler, they would react differently.