Apologies for the delay in replying, but the Hilton at LAX honored the booking I made through dayuse.com. Also, when I arrived, I mentioned I was a Hilton Honors member and they treated the booking as if I had booked directly through them, so ended up earning points for the stay. I checked in at 8 am and checked out at 5 pm which was perfect for my layover and certainly made the trip a little more bearable.
Thought this might be useful for anyone finding themselves in the same situation.