I go the other way on that. The public spaces are amazing, definitely worth hanging out at. But the age of the hotel shows up in the rooms, they're tiny. A friend of mine attends a conference there annually, he usually stays at the Hampton above the Majestic, close enough to the conference but gets a nice room.
Well, some rooms at PH are tiny, sure. The infamous "coffin rooms," which often go to Hotwire/Priceline people, I have heard over the years.
Status definitely helps at PH. And PH has an indoor pool, a nice feature. But any of these hotels would be fine.
PH is an easy walk from Hilton.