I always think its funny when fans list their ideal singles run, they leave out G.U.Y. Yes, it flopped but not because it wasn't a good choice. It is the most obvious single on the entire album.
She only "performed" it on James Corden during the CarPool Karaoke and then twice in Japan.Did she even perform Perfect Illusion on TV at all in the US? I don't think so. Her promo blitzing has gotten less and less as the albums have gone on. So the GP isn't going to cling to a song when there's little to cling to as far as performances. Not to mention her fashion aesthetics were not as raved about for that era in comparison to every era before it. Although that was okay because people were getting a bit fatigued with her looking wild anyways I think.