Any advantage of Series X on a 1080p TV?

[kenjab]

I've seen the comparisons between the Series X and S but the the differences seem to only be noticeable on 4K TVs.  I know about the disc drive and greater storage space, but is there any advantage to the way games will play in 1080p on a Series X than on a Series S?  Would games have graphical or audio improvements on Series X, for instance?

If all I care about is how the games play, am I effectively throwing $200 away if I get a Series X over Series S to use on a 1080p TV?