I realised that I may not have made it clear that the guitarist in our session group who strums according to the time signature, i.e. three strums per bar for 3/4, four strums per bar for 4/4 is strumming with no sense of dotted notes etc. So it is like an axe on a woodblock - 3/4 time sig is strum-strum-strum, strum-strum-strum, with each strum at exactly the same length and strength with no emphasis on the first note of each bar.

Imagine two loud, evenly sounded strums per bar integrated with this amazing version of Brian Boru's March by The Chieftains. Yes there is a 2/4 beat but when I listen to the complexity of the accompaniment I can't just hear two woodenly strummed chords per bar.