Although one of the Chess.com posters complained about 3...h6 "I hate when players play this as it is an insult to the Italian" there was no suggestion on the website, either in the discussion or the related 21 games given, that White could return the "insult" of 3...h6 by transposing to the Jerome Gambit with, say, 4.0-0 Bc5 5.Bxf7+.
Of course Welton sent one of his games where he provided that "insult" – which we will see in "Italian Game Anti-Fried Liver Defense (Part 2)".
By the way, Grandmaster Boris Alterman has a 6-part series on the Fried Liver Attack on his website, along with instruction on a whole list of gambits, including the Danish, Evans, Max Lange and Morra.
I note that Alterman has two books forthcoming, one on gambits with White and one on gambits with Black. Of the first, he writes
The Alterman Gambit Guide: White Gambits is both an opening book and an instructive manual. Sharpen your tactics and learn to play dynamic attacking chess while studying the most entertaining gambits. Lines covered include:Evans Gambit, Panov Attack, Morra Gambit, Philidor, Danish Gambit, Urusov Gambit, Morphy Attack, Cochrane Gambit, Max Lange Attack, Fried Liver Attack and Milner-Barry GambitFor those who like their liver fried, there is also a book by NM Dan Heisman on The Computer Analyzes the Fried Liver / Lolli.
