
Valerion
VisionMaster Pro 2
Great picture, good gaming, but pronounced RBE and no lens shift.

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I have a JVC NP5 and it is noticeably superior to previous non-4k projector. D-ILA has incredible contrast and black levels as well.
JVC Pricing is screwy . IF you buy from best buy or crutchfield , you are going to pay msrp or whatever the sale price is at the time . You can often get the projector for significantly less from a local installer . I got an NP5 for 1500 dollars less than the best price best buy had . Think it was 3500 vs 5000. My guy said the mark up from cost to Msrp was huge . He was making plenty of money selling it at the discounted price .
You say budget isn’t a concern, but balked at $10k. Which is totally reasonable, but I think it’s important to set expectations. There is a sea of not-particularly-good projectors under $5k. At $5k you have a few decent options where color volume and black levels significantly improve. Above that, things sort of jump to $10k, where black levels and color volume either continue to improve or at least stay flat, but brightness increases. Above $10k, things explode in to the 10s of thousands. Largely for the purpose of going really big (165”+) and of course the Christie Eclipse at $400kish. This also doesn’t factor in the screen, which can cost as little as $300 and as much as $6k or more. Given you aren’t willing to properly light control, but need good brightness, image quality, fan noise, and low input lag, you’re going to have a hard time hitting all of that under $10k. I would have serious reservations about getting excited for HDR. You might find SDR content looks better. A JVC NP5, Sony XW5000ES, or Epson LS12000, and Epson QB1000 should all be on a shortlist. There are plenty of comparisons between them. Pair one of those with a positive gain ALR screen and you should have a good experience *most of the time*. Ultimately though, these still prefer a dark room, and the ALR screen will largely combat light colored ceiling and walls. You could also look at UST projectors. These kick out a shit load of light, though usually at the expense of contrast in a dark room. UST screens tend to offer better ALR effects as well. I like the new Epson QS100, as well as the LS800, but I’ve heard good things about the Hisense. Realistically though, you should strongly consider a 100-115” TV.
Silver Ticket punches way, way above its weight. Their screens are an amazing value and look great. Consider a used JVC. You can save a lot of money and still get a great picture. NP5s, NX7s and NX9s are often going for $3k or less on AVSForum.
I have both. 77” oled and jvc np5. For movies I use the jvc way more. Anything else I use the OLED
The NP5 has better HDR performance and 120hz support. It's not a massive upgrade but considering the NP5 came out 3 years ago the NX5 is getting pretty old. The NX line had some HDMI board issues that could pop up so there's more risk there. In the US the NP5 is selling for around $2500 USD but I'm not sure what the market looks like near you. You look around to see if any dealer is still holding on to a NP5?
Just to add. The NX5/NP5 are very good projectors and I think most would be very happy with them. It's not a bad buy (assuming it's the NP5 and not the NX5, the NX5 for $3k USD is too much).

Valerion
VisionMaster Pro 2
Great picture, good gaming, but pronounced RBE and no lens shift.

Epson
Home Cinema 5050UB (V11H930020)
Best value, flexible lens shift, but dated tech, poor HDR.
Epson
Pro Cinema LS12000 4K PRO-UHD Laser Projector
Great 4K/120Hz gaming, no RBE, but needs calibration.

JVC
DLA-RS1200 / DLA-NZ500
Unmatched black levels for movies, poor for gaming.

BenQ
HT2060
Great 1080p gaming, deep blacks, but low brightness.

Ranked #1
Valerion - VisionMaster Pro 2
Ranked #1
Epson - Pro Cinema LS12000 4K PRO-UHD Laser Projector

Ranked #1
Hisense - Laser TV PX3-PRO

Ranked #1
Anker - NEBULA X1 4K Triple Laser Projector (D2351)

Ranked #1
Anker - NEBULA X1 4K Triple Laser Projector (D2351)

Ranked #1
JMGO - PicoFlix