Hardly comparable.
Villanova plays a good portion of their games (and most of their big games) at the Wells Fargo Center in Philadelphia. So moving all the games to one of their existing home courts, during renovation of the other, is not the same.
Cinci's renovations were extensive, complete with an new seating area and roof replacement. And they moved to an arena 7 miles from their home court. (Prudential Center in Newark is more than 20 miles, straight-line distance, and almost 30 miles driving distance, from the RAC).
Houston essentially demolished and rebuilt their arena, and they played their games in an arena 1 mile away. Fans could walk from one arena to the other, if they wanted to.
My assumption here is that the renovations to the RAC will be on the concourses and exterior to the existing building footprint, mostly in terms of amenities. Maybe additional seating is added at the end-courts, and limited changes to the side-court seating.
If they are going to make major renovations to the side-court seating, which require more than 9 months, then they will probably end up changing what makes the RAC unique. At that point they might as well just build a new arena.