Yes it does and it came stock and yes, directly connect it. There is a fuse inside the motor cowling.
I'm not sure I understand what ya mean by
I have the original Honda connector - but no wiring attached - so was just going to make up a lead from 1mm lighting cable.
Perhaps a picture? Otherwise, I believe In that year/model, the stock external power out connector should have came w a rubber cap/hood housing on it? If so, pop that off, look down inside of it, you should see two metal male spades pointing up down inside?.......Those un-wired male spades of course mate up with the females on the engine side when the plug is on and in place.
The male spades are both molded into a plastic boss that makes up the connector assembly to wire too!! Carefully slip it out by prying/pulling the spade assembly from inside the rubber cap/hood housing and you'll find two set screws on the backs of each spade to attach your + and - wires to. You'll have to drill a small hole/s(it's sorta molded/pre-drilled already) in the rubber to fish the wires through to set the spade assembly w wires attached back inside the housing.........Tricksters eh?
Run the wires(1mm, 18AWG?, I'd suggest 2/2.5mm, 12/10AWG for like a 6' run) then of course directly to the battery to be charged.........You can also upgrade to 12 Amps output by adding another set of parallel wingings(w same reg you have now) should you need/want .
BTW, Honda(very smart engineers IMO) uses a unique smart sensing type regulator in that it has to see a load(slight current draw) before it turns on the 12V output....just a side note
In looking at the spec's for the pump, manu states "fully loaded, it can draw up to 20A @ 12V"? (Double check me)......If so, depending on current limiting circuit design in/of the Honda's Reg.(I don't have that spec, but typically limits current by voltage fold back, lets guess starting @ 20 Amps) and how long you run the pump[7ah/20a = 0.35 hrs (ideal max run time w full load, full charge, battery only)] verses how well charged/low the battery is/gets, you could
potentially take out the Honda's fuse(15 Amp I think on yours))overloading the Reg. when the battery drops out.
Just a heads up, but since you have the 6 Amp stator, the stator will just limit out @ 6 amps, the 12V should be dropping out before your 15 amp fuse goes, you should then in theory, just run out of battery in say 15 mins w/o any fuse loss.