That's interesting. I didn't know they're different. Would've assumed they're the same.
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Lol that's makes two of us.
I'm not aware of any hubs where you can just swap out the cassette ratchet to upgrade the gearcount.
Cassettes that are the same width fit the same hubs, even when the gearcount differs.
To fit a larger (wider) cassette you'd need to replace the whole hub, no? That involves undoing the spokes, and relacing the wheel.
The only reason these aren't interchangeable is the difference in the number of teeth. I'm trying to figure out what that feature is called. I know one of the alternative styles is 3-prawl, but I was hoping that someone would know the name of this style specifically with 10 teeth.
The reason I'm upgrading the freehub body is to accommodate a wider 10s cassette since the current 7s hyperglide is only large enough for 9s.
Adding a photo of the wheel side since I can't edit main post:

Would that not net a hub that is then wider in total, and no longer a size that fits the frame?
AFAIK, the cassette mount is not the only thing that changes when going from one size to another.
The new part looks wider, eve. if if you could install it, you wouldn't get something that works.
It's only a 4-5 mm difference, so it fits fine in the rear triangle with the stock axle even with the added 3mm from the new part not meshing correctly (10t vs 15t)
Ok, but that still leaves the fact this isn't supposed to to work.
You're combining parts even the manufacturer will never have considered would be used together.
The internal ratcheting mechanism and how it is mounted isn't a standard you can look up compatible parts for the way cassetes or bottom brackets can be.
Those teeth are not involved in the ratcheting system. They are only how the freehub body attaches to the rest of the hub. The pawls are inside the freehub.
One additional consideration you need to account for is the chain stay width. 7s and 10s are not the same. You can spread a steel frame to fit, but it isn’t easy.
I tried to do what you want by disassembling the freehub body and keeping the base that fit my hubs, but it didn’t work. So I stopped at 9s.
I’ve been working on bikes since the 80s and have never seen one like the 10 tooth thing. But it looks like an early version of the DT Swiss ratchet hub system, but really just a way to attach basically a freewheel vs freehub without screws vs the replaceable double “star ratchets”. I honestly don’t think you’re going to find anything that converts that to what you want without just replacing the hub
More brands are using ratchet hubs now that the patent has expired. Shimano calls their version "direct engagement".
There are some details in this article, and an animation of Shimano's version in this youtube animation
From the animation it looks like what DT Swiss called "star ratchets" Shimano calls "hub ratchet" and "outer ratchet".
I think it's still a freehub because the ratchet mechanism is at the freehub-wheel hub interface. A freewheel has the ratchet mechanism enclosed within its own body, right? With a static threaded interface to the wheel hub.
I'm still trying to understand how the spline OP is trying to identify fits in. Are we looking at the back of the mated ratchet rings?
Edited to say freewheel. Isn’t that just a freewheel and not a freehub body?
No it's a freehub body, hyperglide. Freewheel threads on, and this has a freehub fixing bolt to lock it down.

I'd reach out to the hub manufacturer for more info.