You're using Hotwire for business stays. Do you have a pattern of making reservations for co-workers but using your credit card/debit card? It's plausible a customer that consistently uses one name for payment but consistently books a room in the name of another person gets flagged. It might almost look like an "internal TA". You might also get flagged if you consistently cancel a backup reservation at the same hotel.
I can understand Hotwire telling you to take your business somewhere else but I can't think any reason (based on the information you provided) for cancelling your reservation in the middle of the stay.
I'm assuming you don't "play games" to determine the name of the hotel prior to making a financial comittment.
Hotwire says:
All bookings are final and cannot be changed, refunded, exchanged, cancelled, or transferred to another party;
They may be after you for transferring reservations to another party. I'd use this to say Hotwire doesn't have the right to cancel your reservation.