It seemed to me a good challenge to restore one of these pumps to its original efficiency (what ever that was) so I did a a little bit of investigation...
Gear pumps lose efficiency as the side clearance and gear tip clearance increases. This is compounded in Honda pumps as the pump sucks up everything that is present in the crankcase and pushes it out to the oil filter. The first thing that a clutch wire or bit of gear tooth, piston ring or dirt meets is the gauze surrounding the pump.

If it gets past that then it goes straight into those lovely gears in the pump. If you look at the gear teeth and the pump housing you will see the effect of this..

The housing, being softer material doesn't escape the torture. Check out the deep score in the housing to the left of the drive shaft...

If you find a good pump body and good gears you can just re-assemble and forget about it.

Just for the challenge - I thought I'd take my worst offender and see if I could bring it back to life. I looked at the lovely Capellini upgrades but, as they readily admit, these only work if you have a perfect pump body to start with. If you pump body is damaged they might improve things a little but they are not a real fix.
What I needed was to re-machine the housing to fit larger gears. I did a 'net trawl to find out possibilities and learn a bit about gear design.
As is often the case, I found HPC Gears just up the road and found some 10-tooth gears that were a little larger than the Honda gears. This is all well and good but bigger gears need to be farther apart - in this case by just over 1mm.
It all sounds dead simple on paper but I actually needed to cut some metal and for that the first thing I needed was some tooling.
G