try it with a live USB with Gnome as it is way more touch friendly. Fedora latest recommended because the live USB has a Wayland session (older versions default to X11 and a buncha touch and transition features are Wayland-only).
as to seamless transition, no DE on linux is there yet. Gnome is way better than it was a year or two ago in that regard, but flakyness is still present, expecting the polish and reliability of Android or iPadOS isn't realistic.
them monitors have standard HDMI in, so anything can drive them. for power, there are USB power inputs (a powerbank is easily taped to the back), and then another cable to relay touch. so, kinda cumbersome...
what's way more interesting to me is that they have USB Type-C and there are youtube videos showing phones attached to them with a single cable transmitting video and power and relaying back touch input! not all phones support that, e.g. flagship samsungs do, the ones that support Dex.
question is, how does a laptop that supports DP-Alt handle that; there aren't any videos of users achieving same functionality that way. like, if a phone can power it I'm sure a laptop with 10x the battery can do as well... or?
and then, there's the main reason why this is in "Linux"... how and does it work with wayland and friends?