You
need to wire the tail light from the headlight. If you do not, and you turn off the headlight, the tail light may burn out because it cannot absorb all the power of the generator. All modern LED headlights are designed to power the tail light through the head light and switch the tail light on and off with the headlight switch.
Back when headlights were incandescent, you could get 2.4W and 3W headlight bulbs (you still can) depending on whether you intended to run a tail light or not (tail lights were 0.6W). Whether or not the tail light is run through the headlight, the tail light still uses that power.
I have several SON hubs, an Edelux I, and Edelux II and several B&M headlights and tail lights. I wire all the tail lights through the headlights. The only combo I know of that has some issues is that the B&M Luxos U headlight has some compatibility issues with a few tail lights. The Edeluxes work with all the B&M tail lights.
The Edelux II has a tail light spade connection for the tail light wire. The Edelux tail light connection grounds to the headlight mount with a ring connector, it does not have a separate spade terminal.
Use dielectric grease on the connections (sometimes sold as "bulb grease" in auto parts stores). The connectors can be very, very tight and the grease helps putting the connections together as well as waterproofing them. Note that dielectric means insulating. The grease acts as an insulator, but the grease has such a low viscosity that it easily flows away and does not prevent the metal to metal electrical contact, what it does is prevent the connection from corroding. If the connectors are still too tight to put together, you can very slightly open up the female spade connector with a tiny screwdriver.
Laing
Delray Beach FL