I've used an Acer Spin 5 and Dell Latitude 7440 with Kubuntu, Ubuntu, Arch, Fedora and NixOS over the years without many issues.
I've heard that the x360 laptop you have may be a little troublesome but you can always test things out on a live Linux USB.
- I've heard that the sound quality might be degraded on Linux, or certain speakers don't work
- The flip switch doesn't work, meaning that the keyboard and trackpad aren't disabled when flipped.
Ofc, there are a few x360 laptops so it might not apply, I'd encourage you to just give it a go with a live USB.
For using your stylus for note taking, I'd recommend trying Xournal++ and/or Rnote