I like the thinner displays from an aesthetic point of view...and if the display has everything else you want, no problem.
I have a Panasonic BD55 player that is very thin (vertically) too...thanks to more advanced electronics integration. That in itself does not make it better, but it is a sign of things to come.
OTOH my Oppo BDP 83 player and that is like a thick slab of granite.
But the performance is certainly top notch!
So really, kind of a non-issue.