Haitch is incorrect because you don't aspirate when saying the alphabet.
Do say it like this: Hay, Bee, See, Dee, Hee, Heff, Gee, Haitch, Hi, Jay, Kay, Hell, Hem, Hen, Ho, Pee, Kew, Harr, Hess, Tee, Hew, Vee, Double-yew, Hex, Why, Zed?
No.
So no aspirated aitches please.
But people do it because they think H should have a 'h' in front. Drives me bloody mad.