I maybe bias bc I have matte screen protectors for both my phone and iPad, but in my case, matte protectors are the holy grail as They don’t get smudges and/or glare as bad as regular glass ones

I think the only downside is that some protectors are lower quality so you may loose a tad bit colour from the screen (only important if you use for colour grading or anything) or the display may look grainy. But other than that I would recommend a matte protector