Arche Headshell and Technics 1200G

Why would it not "work"?  The only question to consider is whether the cartridge compliance matches well with the weight differential between the Arche and the OEM headshell.  I would imagine that the Arche is a bit on the heavy side, so would work well with low compliance cartridges, but you do not say what cartridge you are using.  Once you know the match of compliance and effective mass is acceptable, the Arche does seem to present a few advantages in terms of adjusting VTA and azimuth, vs any standard headshell.

I am also using the arche headshell on the 1200G, with the very low compliance London Reference cart.
Aside from the convenience of easy overhang, SRA and azimuth adjustment, the weight (17.5g) and damping ability of the arche (and tighter fit into the collet) has helped to eliminate the mechanical quirks of the London cart. I also wrapped the arm pipe with 3M foil damping tape, and installed the KAB fluid damping system. The result is exemplary tracking, greatly reduced surface noise and spectacular sound quality.

I am using it with a Lyra Delos

One thing that I am learning is that the arche wants silver leads.