There are 2 different pumps for the b8200 one requires a gear case to drive the pump, and the other does not.
The 67810-76100 is a gear case driven pump for the new B8200
The 67111-76100 is the non gear case OR tang driven pump like the b6100 pump for the older b8200.
The 67211-76100 is the original B6100 tang pump.
The B6100 pump is about 3 to 3.5 gpm depending on old style of pump or new style of pump.
The B8200 old style of pump that would bolt on in place of the b6100 pump is only 4 gpm.
The b8200 new style of pump that is 6.5GPM is a gear driven pump, this would require you to change the fuel cam in the B6100 to a B8200 cam, that would work because besides the pump output section they are the same cams, and also require you to get the gear case that drives the pump.
The pump for the 4gpm is about $700 alone.
In all the parts to do the change over to 6.5GPM the would run you about $1500 in parts and would require a fairly deep disassembly of the engine to replace the fuel cam.
Pump assembly in red is the 6.5GPM setup with the gear drive.
Pump assembly in blue is the 4gpm setup with tang drive.
So in closing, NO, the 67810-76100 pump is not the right pump.