"Haytch is a standard pronunciation in Irish English and is increasingly being used by native English-speaking people all across the country, irrespective of geographical provenance or social standing. Polls have shown that the uptake of haytch by younger native speakers is on the rise. Schoolchildren repeatedly being told not to drop Hs may cause them to hyper-correct and insert them where they don't exist."
Jo Kim
BBC Pronunciation Unit
The above does not really "prove" anything, but I thought it was interesting.