So a year or so back, I got a tool setter because manually measuring tool length offsets and then putting them in the ATC and expecting them to repeat in Z was...you know.

I use Fusion 360 and although I've been at this for 4 years now (coming from purely manual machining), I have not figured out a good way to call for a G37 on tools that matter (in Z) aside from manually entering G37 in the Gcode after the tool call and before the spindle speed. Not such a big deal doing it this way unless it's a big program where I'm tweaking operations and re-posting (and re-pasting G37!) repeatedly.
Seems like "use G37" should be an option on the Post Process options or on the Tool tab of any given F360 operation.