I personally feel that the handicapped spaces should be the last ones let in any price category. Then, if you are asked to move you should be bumped up to a higher category or compensated the difference if bumped lower.
I find it odd that they let a handicapped room go before the others in the same category.
I travel a lot and always book the handicapped hotel rooms because I like the bigger bathrooms.
I have been asked to move twice and did so gladly.