DIY "infinity contrast" TV

Take an old discarded TV with a broken backlight and a discarded office video projector, and use the latter to create a far better lightsource? The combination comparable with modern expensive OLED?

Maybe a bit Heath Robinson, and impractically large, but I found it clever.

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DIY "infinity contrast" TV - with 100% recycled parts

No. The contrast range is the same as with the original backlight, as it is the LCD that determines it.

I would agree but add apart from where the scene is totally black. For a night time firework display this would of course look impressive. The increase in contrast is an optical illusion. For general scenes where the rear projector is on (white) it's all down to the LCD.

I suppose if part of the limitation was not just the ability of the LCD to occlude the backlight but also the peak brightness of the light source, the significantly brighter light source might actually increase it (even if only by the extra brightness resulting in more perceived average brightness reduction resulting from the eye's reaction)