I have the 2019 Ram 1500 Longhorn Laramie and have the same issue - that dang light is always on in the upper glovebox. Even when both roller controls are at the lowest, the light from glovebox is still shining bright. Asked at the last couple of regular maintenance visits at the dealership... "well that is odd, isn't it?" So helpful.
I read through some other posts, and apparently you can do a self-fix with better sealing the glovebox with a kit from Lowe's for $20 (9/16/19 post), or have the dealer replace the glove box and light assembly, which s/b under warranty.
No, it's not a big deal overall, but goodness is it irritating.