I have both and much prefer the platform style.
As noted, fewer fewer bikes have a horizontal top tube meaning the bike starts to hang at some crazy tilts, if you an even hang them at all on the hanging style.
The platform style tends to keep the bikes further apart and uses the wheels to hold them on, minimizing scratches and dings to the paint.
I have a Saris Supercamp EX 4 Bike carrier and am happy with it (and yes, they list for about 1k these days). The old rack is a Yakima 4 bike hanging rack, and it did its job in the day, but I won't go back to a hanging rack.