Since we install both I'll give you a comparison. Each type of screen has its tradeoffs but both can be exceptionally good. I like the Stewarts for the video quality (if not sitting too close) because you can get a screen material that suits your application. The audio on the Stewart has more high frequency loss but can easily compensated for with EQ. Audyssey will do a fine job and you won't need the Stewart processor. typically the biggest problem with using the Stewart is space behind the screen for the speakers. If you have that foot of space or more it will work well.
The Enlightor 4K also benefits from having the speakers a foot back or more. But, if you don't have that space the detriment to the audio is not much if the speakers are placed closer. Even if they are in wall speakers with the screen over it. Also, the weave on this material is tough to notice even sitting close. These are the type of situations the Enlightor 4K has an advantage. Picture quality the material has a slight sheen to it noticeable from within ~15 feet. Most won't notice but some enthusiasts do.
It is difficult to make this type of decision. I'm not fond of recommending samples as they are typically too small to get a good comparison, plus you can't test audio. However, for not too much money Stewart will give a larger sample, like 4ft x 3ft. If you can tension it by making a simple frame and staple the material to is you will be able to do some testing and give you a good idea. The money you spend to do this might save you thousands on trying a different screen.