No flaming, but everyone DID answer his question. They just didn't answer what you (and probably the OP) wanted to hear.
That's debatable. If you trust your room and monitoring system, you don't have to run around listening to it on everything else.
In your case, you're saying headphones are better than monitors because you don't have a treated room. While you might be right, you're "curing" a bigger problem with a better-than-nothing solution. There's is absolutely no question about the fact that monitors in a treated room are better for mixing than headphones in an un-treated room. It's like saying "I don't need good breaks because my car doesn't go over 10 miles an hour". Yea, shitty breaks are better than no breaks, but maybe you should fix your car so that you will need good breaks? (That might be the worst analogy ever, but it's all I got )
If you're using "analyzers" to tell you what your ears should be telling you, I don't think you're in the position to tell someone that headphones are fine for mixing. You can use those "analyzers" with shitty speakers too, since you're only looking for information, as opposed to listening for it.