I can reproduce this in BaseCamp 4.4.4 I haven't upgraded to 4.4.6 yet. I tried walking, bicycling and driving. I also tried City Navigator and Openfietsmap. The error is there in all cases. I have attached a screen shot and added text showing the order it routes the points and corners. If I send the route to my GPS it looks good on it.
Tried again using points very close together and can now see the issue, guess I didn't realise how close you were keeping the points as difficult to understand why you'd want them like that :confused:
Definitely seems like a bug though.