"Have you ever put both 1000w lamps in a sealed room with idential cooling systems, confirmed they both actually draw the same power (using a kill-a-watt or similar device) and then measured significantly different temperatures in that room?"

In way many more setups than you can possibly imagine, and across the globe, pal.

My job is to design lighting solutions of ANY sort and as acting director of research for a multi-national corporation. That means LED, Induction, HID, Fluorescent, CCFL, even micro-plasma sheet lighting. You probably haven't even heard of the last one.