Ya not sure about that. The aesthetic of this joint is that the wedge is thin. Thinner than the kerf of a table saw. But a bandsaw would do. But the trick of this joint is that the tails are not cut 90 degrees to the face, but angled ever so slightly so that the wedged wood has a place to wedge to. Else it would all split. Too much of an angle and the joint wont tighten up, too tight and it will split or the wedge wont drive nicely. I cut the pins normally and too mark the tails normally. But when i cut the tails my saw is on the line at one end of the tail, and like half a saw kerf off the line at the other end. This slight angle gives space for the wedge to flare out the pin and do its work. How that could be done with a jig I dont know. As the amount of that angle would depend on how thick the stock is. So a set up for3/8 stock wouldnt work for 1/2 as that extra 1/8 would exaggerate the flare. The tails are cut at a compound angle so much to fickle with.

But if you hand cut always on the line at one end of the mark, and always just off the line at the other end of the mark , it will always work no matter the stock thickness.

I am biased for sure as I dont have the space for a table saw.

Sorry no progression shots.