This was a point of interest brought up in the comments to my answer on Help with analyzing sus and add chords in this progression.
In that question, the sheet music has a measure of 4/4 time written with a quarter note followed by a quadruplet that took up the last three beats (a 4:3 figure - four in the space of 3).
My answer (here it is for reference) took the position that this was a terrible way to represent the rhythm, that it should have been written as dotted 8th notes (or, equivalently, 16ths tied to 8ths so as to be beamed correctly), completely eliminating the need for any tuplet/polyrhythm notation.
My main argument is that this tuplet obscures the beat completely. Visually, the tuplet does not show where beats 3 and 4 fall in the measure, making it unnecessarily difficult to sight-read. Representing this rhythm on the 16th-note sublevel would, when beamed appropriately, make the locations of beats 2, 3, and 4 obvious. In the same regard, showing the midpoint of the measure is always a good thing, and the quadruplet fails to do so.
My secondary point is that the use of a tuplet subtly implies a temporary suspension of the ordinary meter, but in this case the tuplet is unnecessary because the rhythm should primarily be felt as syncopation in 4/4, not even notes in a faster tempo starting on beat 2 of a slower measure. This is a subtle "feel" difference that gets elaborated upon in the video I put in my answer.
I did face some opposition in the comments, though, the relevant bits of which I will quote here:
"I've actually been told by multiple sources to prefer tuplets over dotted-note notation (i.e. they recommended the opposite of what the video in your answer does)."
"[...] counting out the dotted notes [is] more painful than intuiting the tuplets, even at slow speeds. This even seem[s] to apply regardless of obscuring the middle of the measure."
Faced with differing viewpoints, I think some discussion is in order: What are some arguments in support of or against the tuplet notation shown above? Or, if there's another alternative, what is the best way to represent that rhythm?
If you need the full piece, this is what the original question linked to.