Garret, it’s great to see you on here. I’m glad you’re finding the lectures worthwhile.
I’m not exactly up to the minute on Hyksos scholarship, but the last I looked there didn’t seem to be a firm consensus on their origins or their role in the exodus. A lot depends on the timeline construction; I’ve seen several authors argue that the “pharaoh who knew not Joseph” was either part of the new Hyksos dynasty near the beginning of the Second Intermediate Period or part of a newly restored New Kingdom dynasty that had replaced the Hyksos. You may be aware that Josephus claimed the Hyksos _were_ Hebrews, but I don’t know of any modern scholar who believes that.
Alan Gardiner’s book (cited in the lecture notes) devotes a few pages to the question of Hyksos identity, and it would probably be a good place to start further investigation.