Yea JVC 4K supposedly clocks in around 28ms lag. Will be interesting to see where the new RS1000/2000/3000 line falls.
Gaming on native 4K looks tons better than at 1080p. In fact, 4K is very subtle for anything but gaming. If you game a lot, native 4K is probably the #1
feature you want in a projector. Perhaps the projectors you're looking at are just too low end? The only native 4K projectors right now are JVC's new line and Sony's 4K line.
Video: JVC RS640 135" screen in pure black room no light, htpc nvidia 1080ti.
Audio: Anthem mrx720 running 7.1.4, McIntosh MC-303, MC-152, B&W 802d3 LR, B&W HTM1D3 center, B&W 805d3 surround, B&W 702S2 rear, B&W 706s2 x 4 shelf mounted for atmos, 2 sub arrays both infinite baffle: 4x15 fi audio running on behringer ep4000 + 4x12 fi audio running on 2nd ep4000.