Fitting heated grips to a non-standard loom?

Long story , short: My right hand heated grip was broken, numerous people told me they cant normally be fixed, so i took there advice. Ive taken the old grips off, and i have some oxford hot grips ready to go on. I have followed the wires back from the old grip and i have got to here, negative to the battery and positive through an in line fuse to the main loom:

and another angle:


Clearly the P/O has spliced the grips onto a switched positive so that the grips go off with the ignition.

I was plannig on following the PDF guide from this website to put the new grips on, but can i just use this same connection for my new ones ?

My burned out right grip, was literally burned out. the filament was charred and a bit melted.

[Bibio]

nowt wrong with what has been done but i would recommend putting a relay in so as your not drawing the current from the bike loom. the relay will switch power using the same feed but get power from the battery, much safer.

im really mechanically challenged. the simpler the better. this seems like a godsend.