Yup, that's the badger, although you need a longer piece of studding (probably) instead of the supplied bolt, and a second nut, arguably two, to lock it on the thread...
... I'm going to check what I think I used against the old bearings later this morning (never throw anything away, at least not immediately!). From memory they are 19mm I.D., so it's either a 10mm or 12mm Rawlanchor (RA) They size by their internal thread, not the drill size.
Broadly, the unexpanded OD of the RA needs to be a not-too-sloppy fit through the middle of the bearing. Honestly it's easy to work out after that!
The second nut (washer optional) lets you expand the end of the RA while it's in the middle, between the two bearings, so you can drift the further one out gently and easily.
Otherwise, the issue with mine is that the wheels, rather than having a shoulder at each side, have two circlips in the middle, to position the bearings (so there are four per wheel altogether). You can't remove the middle pair before you liberate at least one bearing, and they get in the way of drifting anything out easily. This gets around the problem. Yes it's still pushing on the inner race, but it's an even force around the circle, rather than asymmetric as you get with a thin punch/drift.
As I said, I'd previously tried heating the wheel with MAPP gas played around the hub, but because the drive pulley on mine is integral with the bottom wheel, there is a lot of mass (cast aluminium), and I'm not sure I could expand it enough to make a difference. Anyway I was nervous of warping or even cracking it, so I didn't want to be brutal with the heat.
Using an RA as a drift was too easy - didn't need a lot of force nor any heat - but I appreciate it varies On my machine the top wheel bearings are almost too loose - they virtually drop out by themselves when you remove the outer circlip.
The construction method has always baffled me - If you put a shoulder in the middle, you only have to machine a counterbore each side to position the bearings, You don't have to worry about positioning two more circlip grooves and you need supply half as many circlips! The only thing in its favour is that, if the turret lathe (or CNC or whatever) is set up for one groove, you might do all four in one operation, and the diameter might be too small to get a boring bar down the middle otherwise. The other approach is simply that used on many motorcycle rear wheels, of a tube that floats in the middle of the wheel between the bearings, keeping them correctly spaced - but bike wheels are clamped up fairly tight, so that might not work on a bandsaw.
Note that I used it as a drift rather than a puller. Wheel across the slightly open jaws of my Record 52 1/2, and something to catch the bearing as it drops out.