There is nothing wrong with the use of ‘an’ before ‘history’ and the forms of that lemma. It is unusual, and perhaps pretentious or otherwise silly, but only in the same way as ‘connexion’ is an unusual (&c) but perfectly correct spelling.
The point of saying "an" instead of "a" is to make it easier to say a following word that starts with a soft sound (there's probably a technical term).
"A igloo" is hard to say, so we change it to "An igloo" which is a lot easier.
"A history lesson" is not hard to say so there's no need for "an".
Have you ever said "an history lesson" or even heard anyone say that?
No. Of course not.
Not arguing correctness, just intuition.
Yes, often.