That flywheel has a very thin aluminium web, and I wouldn't use a gear puller on it myself. Honda permits it - perhaps a bit grudgingly - on at least some of its all-cast-iron flywheels, which have reasonably thick webs. This is an early GXV120 workshop manual:
[Linked Image]

However that changed subsequently. This ia a later GXV120 workshop manual:
[Linked Image]

Of course the flat plate puller in their later version is best, but for that you need either a thick cast iron web, or cast-in bosses near the center of the flywheel, and that early Lauson (LV30) flywheel doesn't have them (though from the diagram it looks as if the LAV30 flywheel does).

I think I'd prefer Tecumseh's special tool to have a controlled-depth thread in its center, made with a bottoming tap, so you could screw the tool onto the crankshaft thread until it bottomed. However bottoming taps in blind holes are not a popular manufacturing technology, so I understand why they did what they did. That special tool could be made in just about any corner garage, even without a lathe if necessary.