FWIW this song is also common in the Jamaican mento repertoire. There is even a (later) skinhead reggae version of the song (by Symarip). You'll find lots of later interpretation in Jamaican music under the title "Hold him Joe". The mento website (I believe you were linked to it elsewhere) would have info. There is also a similar (?) song "Tie the Donkey's Tail".

Most mento songs had sexual innuendo! Though mento songs often were borrowed from calypso (which may be the case here), and the genre also seems to be influenced by Cuban music IMO...though calypso songs have that political messages, mento was mainly just sexy stuff!

Getting off track...but the foundations of Jamaican music IMO is bawdiness....nowadays called slackness!

The political songs appealed more to foreigners!