I think this is more of an ethical question than a logistical one. Logistically, you will be fine. Here's what is says when you go to book an accessible room:
This room is designed for guests with disabilities.
If you need these features or there are no other rooms available, please proceed. Otherwise, select a different room.
Now, the question is how do you interpret no other rooms available? Is it no other rooms in the entire hotel, no other rooms at this price, or something else? Personally, I would be fine with booking it as the last room available at the standard rate but others might not.