I get your points, only with some minor modification that as I see it after all the 4th gets not as much emphasis as the 1st since pull beats by nature ( or my nature...) are a bit stronger than push beats so the waltzing risk is somewhat reduced but it is certainly there! If you reverse on 1st in each bar what do you say about the differing character between every other bar then? Or do you not have the same feeling as I that phrases on pull and push inevitably sound a bit different? That can be used of course for articulating the piece itself in different ways.As I said I am neither a trained player nor listener to Irish folk music but fiddling-wise (or flute-wise) the jigs to me mostly seem to be played very fluently with very little articulation within bars or between bars - but that may be a faulty impression? What I am aiming at is that I have believed I am playing those jigs "wronglt" by putting more emphasis on 1st and 4th even though I like it better that way myself...gives it some "swing"..less repetetive..but that may belong to the idiom on the other hand...