Tiger 800 SatNav Power Cable

don't know what a powerlet socket is, but that socket is a DIN socket, also called a Hella socket or truck socket (as trucks can't have lighter sockets any more). That socket is unswitched, ie. ON all the time.

on my Tiger800 I had already fitted an optimate lead from the battery to under the pillion seat. So I took my Satnav power source cable under the tank to under the pillion seat, and finished it with an optimate plug. So when I use the Satnav I plug it together under the pillion seat. May sound a bit fiddly but works for me.

On my Newchurch I took a switched source from the horn which is nice and accessible, that may be an option for you if you want a switched source. Note the horn has a switched power side and the earth side is switched by the horn button (on the Newchurch anyway), so you get the power from the horn and find an earth from the frame somewhere convenient (or even from the battery).