The question is, what is the typical forward drop of a fuse? Also, why
does the breaker have such a high forward drop at low amperages?

Thanks, John

Don't know about what is typical, but look at it this way. A breaker
trips because there is a bimetalic resistor that heats up when current
flows through it. If you have resistance you get heat and a voltage
drop. Stick in Ohm's law and you can probably get an answer to your
question.

BTW - Breakers and fuses are there for one thing only. They keep a
shorted wire from turning into a foam cutter. Components are usually
protected by an internal fusable device. Always size the breaker for
the wire.