It was very much an early 1930s phenomenon. There was a lot less of it from 1933 onwards.
I did a few gigs in Russian Tea Rooms back in the 60’s, and nearly all the Russian and Gypsy songs do that. It is characteristic of that music.
This was one of my faves:
https://www.youtube.com/watch?v=t5SlUmCdXf0
It’s also typical of Jewish music.