Interestingly, as a Brit I've never in my life heard of "Brown Windsor soup". Admittedly I've never watched the Goon Show but it's hardly "deep...into the British psyche". Perhaps it's a generational thing (I'm in my 30s)?
Note though that my sample size for older people is very small due to the lack of 50's+ in my immediate vicinity (one person in their 60's and one person in their 70's).
Being a radio show, you could watch it with your eyes closed.
As radio shows go, it was actually very visual.
https://en.wikipedia.org/wiki/The_Last_Goon_Show_of_All
It is, of course, on youtube. https://www.youtube.com/watch?v=XF745ywyvVY
FWIW, I hadn't heard of Brown Windsor Soup till I watched the recent adaptation of Around The World in 80 Days.
2. debunk it
3. everybody click and complain
4. profit?
At a guess, you had to be in the generation that actually watched the Goon Show.