It's probably not right to compare two different adverbs. Often at the beginning of a sentence and before "don't" means there are occasions when I don't do something. (As in Often, I don't see her/I don't often see her here). But if I am talking about habits sentences #3 and #4 does the word order in them express that "there are occasions when I don't drink coffee? And can I use this word order if I am not talking about habits sentences 1 and 2 and if I am talking about something that often happens 5and 6?
I sometimes don't see them here.
Sometimes I don't see them here.
I sometimes don't drink coffee.
Sometimes I don't drink coffee.
Sometimes I don't know what date it is.
I sometimes don't know what date it is.
Or does this word order with sometimes work in specific contexts?