Well in my pub session 31 Jan we had the following trad songs at least and I am thinking a number of others too that the beer has occluded

Patrick Spens
Gentlemen of High Renown
Over the Hills and Far Away
The Mermaid (and some others from the same singer that I disremember the names of)
Alison Grimes
Fine Flowers in the Valley
several shanties
a batch of American traditional
As Sylvie went walking
Cold Windy Haily Night
The Grey Cock (Burns' arrangement with later chorus)
At least one Irish rebel song done mainly to wind me up
Ramble Away

So I think that a fair bit of folk song is still getting sung.