Just bumping this topic to remind people.
My MBA has LP133WP1-TJA7 (could have been replaced to that at some point) but that profile still works really well and even makes the fonts sharper with Big Sur.
Thanks for this, I'm not sure about the sharpness (coming from a Retina display the 13" MBA before 2018 seems extremely dated!) but the contrast is finally sorted. I noticed the washed out screen as soon as I turned it on!