so DMD's also have a maximum limit in brightness although they are a reflective device. They too will saturate when used with higher lumen device - TP vs TEXiami could be using the 1500 lumen rated DLP470TP pico version that's typically paired up with LED source, while Lune4K is using the larger DLP470TE standard version capable of higher power.
OK just found this , but isn't the Lune 4K using the 0.66 dmd type?
The DLP470TP is the most compact 4K UHD solution from DLP Products, and is optimized for size and power. Measuring 17 mm by 24.5 mm and supporting brightness levels up to 1,500 lumens, the DLP470TP can deliver 4K UHD quality to equipment such as mobile smart TVs and pico projectors.
The DLP470TE is optimized for projectors needing over 1,500 lumens. This chipset is in a larger package, 22 mm by 32 mm, which enables it to withstand the heat generated by brightness levels up to 4,000 lumens.