The results are similar. Support is slightly better on Linux (e.g., Bluetooth & IIO sensors work.) Linux support is better than on any of my other Surface devices (Surface Pro 2017, Surface Pro 3, or Surface 3 non-Pro.)
In short: almost everything works out of the box. (The major exception is the front- & rear-facing cameras.)
I have been using this device daily since release day. It's one of my favourite devices.