Wiring around the tailgate hinge

As you've seen, there are lots of references as to how this is routed in that corner. The only thing I'll say is to make sure you leave enough slack (just a little) so that the cable is not pulled tight or strained when the door is opened/closed in either direction. This will require a little bit of "service loop"; and to make it easy on yourself, I'd include additional service loop length that you will tie up behind/after you get past the hinge. This makes routing & connecting easier, and will help if you ever have to go back & service this area.

ALSO, in my case I did not use a corregated tube as shown above, but I did encase the cable in shrink sleeve to provide extra protection. And while that precluded any issues with abrasion, I still encountered an intermittent contact problem that I had to go in and fix.
What happened to me was the result of using crimp connectors, combined with the movement that results from this routing & the movement in this hinge area (my connectors were very close to this point). That was my fault for not getting some additional cable & splicing in a diffferent place (the cable length that came with my lock only just barely reached the cable I was tying into, and that was 'just past' the hinge). I had to go back in & redo this connection point about 7 years down the road.

Suggestion to avoid my experience: Either solder the connection, or easier yet, just crimp connect in an area that is not subject to movement (even if this requires an additional splice to add more cable than comes with your actuator/kit).

Stay clear of pinch points at the hinge, and allow plenty of flex space & you'll be fine (anchor it down both before & after the hinge area). That protective sleeve shown above is a great idea also if it doesn't mar the paint or make too much noise.