I can only speak for my 2009 but the Battery fuse is a fuse that is Hot all the time regardless of key position. Why the Moco named it the "battery" fuse I don't know because I can think of better names. Not ALL but most other fuses are switched ON by key position. What the battery fuse feeds would only be a guess for me because I don't have an exact schematic for your bike either. The problem you face is this. Besides knowing what the battery fuse feeds,, you also need to know the start relay circuit wiring, the bars start button control circuit wiring, the TSM/TSSM control circuit wiring, and unless another member comes along with a schematic, how will anyone (you & us) actually know what wires feed what with any confidence... Wire colors also can change color from year to year which adds to the frustration. If schematics were not available, I would understand. You may not have any choice. A company is NOT required by law to make service manuals available to the general public. But HD prints and sells schematics to ease the frustration while working on their products..
Sure, you can get lucky and come across the problem without spending the money ($15.00/ PDF version ) for a service manual. It does happen.
Best of Luck.
ok it's a fair point you've made and it's been taken on board
Do you have a link you would recommend for a schematic? Bearing in mind I'm in the UK?