I've been considering buying a stand-alone Blu-Ray player to connect to a 32" HDTV. Unfortunately the HDTV is limited to 720p. (32" was the biggest I could fit into the entertainment center and my wife was not amused by my suggestion to toss the entertainment center and buy a 60" TV.) Right now I simply use Verizon FIOS via HDMI and the picture on the HD channels is fine. My question is would I see improvement in the picture if I were to buy a Blu-Ray player and connect via HDMI, even though it wouldn't be displaying at 1080?