Agreed that the headers as they stand aren't all that great - they aren't as useful as they could be.
In principle though I think they could be helpful. The original text didn't have headers - but then again it didn't have paragraphs, punctuation or spaces between words. Like paragraphs, word spaces etc headers can help a reader orient themselves - work out where they are.
(On the other hand, too many or bad headers can close down possibilities for the reader - telling them what to think rather than helping them encounter the text for themselves)