Desi C: I think that what you're remembering here as "English culture" is acollection of popular and music hall songs that were, with the exception of MOMAD, written either during or between WW1 and WW2:

My Old Man Said Follow The Van: 1912-1916?
We'll Meet Again: 1939
Roll Out The Barrel: 1934. Czech in origin!
Goodbyee: 1915
White Cliffs Of Dover:1941
My Ole Man's A dustman: 1960

Not particularly traditional! I expect at the time these songs were being sung in pubs up and down the land, largely to a piano accompaniment, the older people listening would have been decrying the replacement of unaccompanied "traditional" songs such as "Banks of the Sweet Primroses" by these raucous songs accompanied by a "nasty, loud piano".

What you've selected is a very limited subset of pub singing that was only really in vogue for 3-4 decades and which itself replaced previous traditions.

Nowadays, here is some impromptu singing in pubs, but apart from folk clubs there are loads of singarounds and sessions where a wide variety of songs are sung and played, plus "open mic" evenings where modern popular songs are often performed (just as the songs you list as "traditional" were actually 2modern popular songs" in their heydays of being performed in pubs. And that's not to mention karaoke. Lets face it, most of the songs you mention wre effectively the "karakoe of their day" with the music provided by the pub pianist, rather than the karaoke machine, and everyone singing along.