Modern AT screens are woven though. Perf is kind of old tech.

Maybe you are correct with older screens. But even modestly priced AT screens nowadays are phenominal.

Here is weave structure from an inch or so away. DLP image -so no screen door. I can assure you it is not a concern nowadays. Tack sharp. In fact, there is much more variation in image softness when the projector is first turned on vs up to temp. At 4k that makes a bigger difference. Focus after at temp -not cold!

[Linked Image from imgur.com]

[Linked Image from imgur.com]