Tested on a friend's Surface Pro and Zelda WW (with HLE), Super Smash Bros Melee (Classic Mode) and Luigi's Mansion ran pretty well, 85%-100% speed all the time, so, the same should apply to Surface Pro 2 (since it's a newer CPU)... Lightweight games works without any trouble with Dolphin (especially old versions) in almost any ultra low power CPU from Intel (assuming it's a Ivy Bridge or Haswell)
Avell A70 MOB: Core i7-11800H, GeForce RTX 3060, 16 GB DDR4-3200, Windows 11 (Insider Preview)
ASRock Z97M OC Formula: Pentium G3258, GeForce GT 440, 16 GB DDR3-1600, Windows 10 (22H2)
ASRock Z97M OC Formula: Pentium G3258, GeForce GT 440, 16 GB DDR3-1600, Windows 10 (22H2)