BenQ TK700STi: 3D ok? Any alternative projector at same $1,700 price with same spec?

[Breakitralph]

Hi all

I was hoping for some help. I have been looking for a projector within this:

CRITERIA
-ideally under £1400 ( USD $ 1,700)
-short throw, for mounting on ceiling, keeps it safe from toddlers
-play ps5 games
-perhaps most importantly watching my large 3d blu ray collection on.
-watch some streaming and 4K.

Some suggested BenQ TK700STi ( https://www.benq.eu/en-uk/projector/.../tk700sti.html ) which seemingly met that criteria (£1,300 / USD 1,600), and seems to mostly have great reviews by YouTubers and publications. Including praising response time helping gaming.

However I noticed some online said the 3d glasses unsynced and resynced periodically especially during white or bright movie moments. And this may be due to DLP link? Some hinted this might be lesser or no issue for official BenQ 3d glasses. Example forum posts:

https://www.reddit.com/r/projectors/...benq_tk700sti/

-https://www.reddit.com/r/BenQ/comments/okgc9c/3d_effect_is_minimal/

-https://www.avforums.com/threads/benq-tk700sti-3d-problems.2362696/

And some forum posts elsewhere indicated people struggled to get 3d working at all or even sent it back and got a different model (maybe old firmware since sorted!?)

I’m avoiding ultra short throw this time because of budget and because, projectors low down may get attacked by our toddlers.

Anyone have any knowledge on this (or anyone have one of these BenQ TK700STi projectors and had good or bad 3d experience) ?

Additionally anyone have an alternative recommendation that meets the criteria mentioned at top?

Is there a strong enough reason to up the budget if a machine meeting criteria but not quite in that budget?