The controversy would stem from orthodox and unorthadox chronologies. Depending on which you follow, you might arrive at different dynasties.
This is a very good read. Detailed as to the chronology.
The conventional (pseudo)chronology stretches and duplicates parts of the Egyptian 2nd IP and New Kingdom; Zahi Hawass’ response to scientific dating results is, the methods don’t work in Egypt. It’s a matter of, my professor said, I believe it, that settles it.
There isn’t any way to fit the conventional timeline to the linear historical events in the Old Testament — and that’s exactly the reason for the insistence that the conventional timeline can’t be modified.
from that PDF:
“A belief in biblical inerrancy necessitates an accompanying belief in the Bibles historical accuracy. Biblical history can be harmonized with Egyptian history, claims to the contrary notwithstanding. Israels exodus from Egypt in 1446 B.C. fits with the chronology of the 18th Dynasty pharaohs in Egyptian records.”
Egyptian history has to be harmonized with that of neighboring peoples, most significantly with the OT timeline, rather than the other way around. Continued to hold a belief in the inerrancy of the Egyptian pseudochronology necessitates an accompanying rejection of the entire text of the Bible.