Nursery rhymes develop over time and often have changing words. One rhyme, one variant, I apply, you judge.

https://en.wikipedia.org/wiki/Rub-a-dub-dub:

[...]  In 1842 James Orchard Halliwell collected the following version:

 Rub a dub dub,
Three fools in a tub,
And who do you think they be?
The butcher, the baker,
The candlestick maker.
Turn them out, knaves all three.^[4]

 [...]

 I like it. Readers are on their own on this thought. Partisan? Perhaps just simple truth - the simpler, the better.