Shower Valve breakdown
The handle fits onto the broach
The biggest lesson here is the size and shape of the broach is specific to the manufacturer.
One size does not fit all.
One brand will not fit another
Yes there are exceptions to every rule but this is 99.9% true.
Also
worth mentioning is if you are willing to pay the price you can find a company that will make you a new stem from scratch,
but this of course will be very expensive.