Partnership and breding are 2 different things : in your case (cats owned by different avatars) you had to partner the cats for them to breed, but when both cats are owned by the same avatar, you don't even have to partner them for them to breed (unless you have several cats & don't want "accident" matings, cats owned by the same avatar do not need to be partnered to breed inworld).
Having breed off means the cat will not start gaining love, love being one of the required stats for the cats to be able to have a kitten.
Having breed on means the cat will start gaining love after a cooldown period of 7 days (7 days of being a kitten, or in your case, 7 days after you turn breed back on).
It means that your cat will only start gaining love when it is 11 days (instead of 7 days), so you "lose" 4 days of possibble breeding. (And if you wait even longer, all those days will add to the cooldown and make you "lose" even more breeding days).
Now, that's up to you if you decide to turn breed back on now or not. "Losing" breeding time is not the end of the world either and you can even avoid the cooldown by buying a "pet food recovery" vitamin.
I only mentioned it because a lot of people turn breed off thinking it has no consequences when it does. (Not only it adds 7 days of cooldown but it also resets love to 0 if the cat was already gaining love.)
Hikari