FWIW, I run openSuse Tumbleweed on an Asus Zenbook; all in all, it has worked very well. I have the low-end model with a Core m3 CPU, so it's not blazingly fast, but it plays 1080p videos smoothly.

The only problem I had I might blame Linux for was that it randomly dropped the connection to my Bluetooth headset, and it took a reboot to connect the headset again.