Now that your question is more clear...Lol I know Dittos don't breed I have a thread full of rng'd pokes
So I say I take my ditto and I breed it with a male regeneration tangrowth, Is it possible for the child to aquire the DW ability since the father has it, or is it only the female who can pass it?
No, only female DW poke will pass the new ability, from the situation that you said it would get the normal abilities only; like leaf guard and clorophyil.
Here from research thread:
Confirmed Breeding a Dream World female parent with any male parent (but not vice versa) has a chance of giving the offspring its respective Dream World Ability. It does not appear that Ditto is considered the female parent for this purpose. (Maverick Hunter, 0mastar\The Shadow Knight, Kaphotics)