I was like, why not?
Just to experiment, I pick a 360 image online and went to https://deepart.io/. I uploaded the photo and waited 18 minutes (free) and there we go.
I brought the original one and the deep one into photoshop and tried to crossfade each other to find a visual balance, and this is what I got.
The seamline is not perfect but looks pretty decent in this style. Some photoshop touch-ups would make it perfect and seamless.
Now enter it.
It is awesome to watch it in 360, but I need a higher resolution picture. This is really fun, now I am trying it on DEEP DREAM GENERATOR, very cool results too. This site has a 5 picture per hour limit, which saved me from spending the rest of the night on it.