Choicehotels is running $50 card for travels ending by 8/23. In their case:
1. They specified that consecutive nights at same location can't be broken down into separate stays, regardless of check-outs and check-ins. I don't see HoJo specifying that.
2. ChoiceHotels credited your account 8000 points, which was enough to redeem for $50 card.
The worst point for me: unlike Choicehotels, HoJo doesn't specify that you can earn unlimited cards