Yes "haitch" definitely grinds my gears too hear it so often, even on the BBC, it was frowned upon when I was growing up, came into the same category as "them things" for example. I've heard my granddaughter saying "haitch" on occasions, but I realise that may be standard even at school, I let it go otherwise I fear I may come across as a nit picker!
I would add, I think if a person who has English as a second language pronounces anything in what is perceived as a non standard way, absolutely fine, just amazing to have a second language One of my French cousin often emails me with his own spin on English, but being fluent to talk and write in another language, albeit with the odd mistake, is everything imo.