We were at VWL last week and requested late check-out and were denied as well.
It was explained to me by a CM that the owners had voted against allowing late check-out to keep our annual dues down.
Although I have no recollection of this and never attended a yearly owner's meeting, this sounded like a real possibility.
I for sure would be in favor of no late check-out if late check-outs would increase yearly dues.