As a reaction to the recommendation from the Classic Honda Racing blog, I ordered a couple of original Honda Tools.

My Honda dealer did not recognize the given parts number KL1696 as a Honda parts number... But when I got it, the number was there.

In my Honda Tool Catalog from 1969 the parts no's are:
07776-99961 Cross Head Driver No2
07776-99962 Cross Head Driver No3

What I finally ended up ordering were:
07603-0050101 "driver no.2"
07603-0050201 "driver no.3"

When I picked them up the seller told me that I was the first customer in, at least, 6 years that had placed an order for original Honda tools...