IMO, unless you've signed a contract or made an agreement to discuss simply using the genetics they've 'created' in your own crosses, you should be able to do what you like. In my mind, I liken it to breeding horses, which my mother did when I was young and showing Arabs.
We bought a mare. We paid the stud fee, had her covered by that stud. We bring her home, she foals, that foal is 100% ours to do with as we please, including breeding it should it turn out to be a good breeding animal.
Now, I understand that in the show dog world it can be decidedly different, with breeders commonly requiring similar permission scenarios should you decide to breed with the animal you just paid for. But it doesn't make sense to me, because in my world you didn't RENT the dog, you BOUGHT it, and that makes it and its progeny YOURS.