I haven't really played around with that much, sorry. I don't typically use sleep on my laptops. I prefer to either hibernate or just shutdown and start up again when I need it.

I'd guess that the X13s hardware support in Ubuntu is likely as good as Debian, and switching probably wouldn't help you much. I have noticed that newer kernel versions (notably 6.12 and later) and the latest firmware (as of sometime last year) really fixed a lot of little issues for the X13s. That probably makes a bigger difference than the distro. I'd check to see which versions you're using.