There is no reference to plagues bringing the empire to its knees, or any reference to an Egyptian army being swallowed up by the sea.
The empire never missed a beat.
Now, you can claim coverup, but that's not a very impressive excuse. You'll need to show evidence of the coverup.
And Kings were casually skipped on the Kings List we know it to be so because we have found other references to them. And the list never missed a beat.
Sorry but the evidence that the Egyptians were very good at re-writing history to suit themselves is becoming more and more evident. Hatshepsut, Akhenaten, Userkare, all of these were almost erased from history. I personally believe that Hatshepsut is a very good candidate for being the pharaoh of the Exodus. Something happened at the end of her reign that shook all of Egypt. What exactly happened we might never know. Thutmose III did his best to erase her from history.
I would not go so far as to term it a cover up. But my faith in Egyptian record keeping is not as great as yours.
They were human and looking at serious errors in judgment is not something that humans are fond of doing.