Okay, gotta answer these in parts. And thank you for attaching a log.
It would be interesting to see if he just picks up two others and continues on. The whole zone up there is pretty busy and that is why the bot is sometimes forced into other directions (e.g. during combat or due to avoiding spell effects).
Yes, I was sitting near it, and wanted to do some other things, so I didn't let it run for long to find out. And you're right, that's a particularly busy area with the apexis daily quest always going on. I think the bot struggles because it finishes with 1 target, and finds another almost immediately. The respawn rate is pretty quick due to the daily.
I don't know if it's related, but my computer started making some noises (I realized I had left GTFO on, and that's what was making the sounds). Turns out the bot was fighting about 5 mobs, and was standing in an AoE effect. My toon ended up dying as a result...I don't know if this is an HB issue or Singular, but I would have hoped the bot knew to move if it was standing in a harmful effect. Another non-player like action.
I think a lot about those things. Another problem would be that after a vendor run with the Tundra Mammoth or the Yak he doesn't dismount but keeps riding around on those monstrosities. As a human I always switch to my standard mount after I used a vendor mount. So what I am doing now is including parts of these fixes in a plugin I am creating this very moment that supplement my profiles. And it is also going to be free so look out for it.
I'm glad someone with the technical skillset is thinking about it. I notice these things, but unfortunately lack the ability to do anything about them, other than bring them to someone's attention. I will definitely be on the lookout for your plugin!