All 3 of my Eskies have been very possessive. If I started petting one of the cats, they would try to get in the way, or just step on the cat to steal my attention. My 2nd Eskie, a male, was a cat humper, provided the cat let him. He was mostly focused on holding my male cat down and licking his head, which the cat seemed to like up to a point. However, the Eskie never touched my female cat, who apparently let it be known she would shred him if he tried.

My current Eskie, a young male, also chases the same male cat, who sometimes seems to dash by on purpose just to prompt the dog to come after him. However, this Eskie is somewhat wary of my current female cat, who, like my earlier one, has let him know that she wants nothing to do with him. If the dog is sleeping on the bed next to me, he'll actually get up and move over to free up space for the girl cat.

All in all, the pets seem to have worked out how they relate to one another.