No idea, how it is, to weld with kHz AC TIG.
With DC pulses @ a few 100Hz to kHz, you get noticeable better focus and it somewhat like stirs the molten metal, so filler sticks much better to base metal. With no pulse, you sometimes have problem, that the arc/filler would not melt/stick to one side of the metal in a _| joint, with kHz DC pulse, molten metal connects to both sides much more evenly.
But as I said, it should not be too difficult to build own Mosfet DC/AC stage and simply try it.
Perhaps without smoothing/HF backstrike blocking inductor afterwards, so touch start only.
Likely also the reason, why no multi kHz AC, because it would be blocked by the inductor needed for HF start, at a certain frequency, so touch start only, then.