What is "phrasing" (not sure if this is the right word)in International ballroom dancing. It has something to do with music (I think), particularly in rumba.

Michael. All ballroom and latin dances should be phrased. You can easily pick up the four bars introduction at the beginning of a disk. From then on the phrasing is over eight bars. Normaly there are 64 bars of music on a disk. Which are 8 blocks of 8. Think of a book. Each page is one bar . In one chapter there are eight pages. in the whole book there are eight chapters.8 x 8 = 64.It seems that with the way music is counted in the US it is the reason so many people there can't understand phrasing. In the US only, to my knowledge, BPM. Bars Per Minute/ Becomes BPM Beats per Minute.
I can easily count if I had to 64 Bars of Music.I would be hard pressed counting 64 x 4 = 256 beats. Fire away.
You will not find a disk from Europe that has not written on it Bars Per Minute

Youre on MY bandwagon now !

have been fighting this " battle ", for eons.

The "eight " count system in play, I believe stems from the stage choreographers, who count down the end of a chorus--- as in ---- 5,6,7,8. Subsequently ( the Salsa world in particular ) are firmly ensconced in that method .

My q to them is this-- if you were plotting a routine--how would you identify the bar within the sequence, that needed attention ?.

But my favorite, is the " count " 1,2,3,-- 5,6,7,-- I usually ask-- what happened to 4 and 8 ?