Let's begin by clarifying one thing:
ALL PROJECTORS HAVE SCREEN DOOR!
The 700 & 900 eliminate it completely (even from a few inches) but it softens the image slightly. Still looks great, but individual pixels are not nearly as distinct as they could be.
DLP, LCoS, and LCD all are made up of individual pixels and there is a inter-pixel gap that shows up as dark areas on the screen. The screen door. The closer you get, the more easily it is visible. In order? LCD, DLP, LCoS. LCD is worst LCoS is best.
But, at what distance is screen door visible to the human eye and what do you give up by switching from one technology to another? Well, generally speaking, with a HD display (Z4) and a viewing distance following THX standards of 1.5x screen width, a person with 20/20 vision will be 100% incapable of seeing screen door. Simple as that.
You can get up closer, and see it - you will know it is there. But, you simply won't be able to see it no matter how hard you try if you never get close. What you will see is a very sharp image out of the Z4 with no softness whatsoever. The AE900 is visibly soft when compared to a proejctor with no smooth screen technology.
I personally keep glancing sidelong as the Epson 550 right now. A projector that can actually crank out some lumens when I want it to really appeals to me. Then, I can tone it back when I don't need the lumens. Plus, it has RS-232 so I can control it via Crestron and automatically set the lumen level based upon the time of day!
My opinion? It almost doesn't matter. LCD - AE700 is awesome, AE900 is not worth a ton more, but has a $200 mail in rebate right now and some blockbuster freebies. The Z3, the Z4, the 550... it is hard to screw this up really! As long as it is a home theater projector to begin with and you are putting it into a home theater, you are most of the way there.