Also, it just seems strange that anyone is asking for a 1080p monitor in 2023 outside of Esports. Are you sure you want 1080p (2K) and not 1440p (2.5K)? It bothers me when people use 2K to refer to 1440p. 1080p is 2K[1].
[0]: this chart has a few recent monitors and gives a general idea of how much power monitors consume: https://youtu.be/Wik4DhEaj_8?t=527
[1]: https://en.wikipedia.org/wiki/2K_resolution is very clear on this subject, and I agree completely. 1080p is much closer to 2000 horizontal pixels than 1440p.
Certainly, one of the most impressive things about the M1 laptops when they came out was that they woke instantly from sleep, including the screen.
My 165Hz 1440p 32" (31.5") LG with 8 bit color and two external speakers consumes ~20W, measured at the wall.
My 14" laptop screen is about 19.8% of the area of that display. I have loosely measured it from ranges of ~<1W at min brightness to ~8W at max brightness. It is 1440p, 60Hz, 14", HDR (DV). I usually run it at ~20% brightness, which seems to be around 3W.
My office has the usual LED lighting at night or a large window + sliding glass door during the day. Not a dark cave by any means!