This is just like what we learnt when we were kids in Hong Kong, memorising the multiplication up to 9x9.
I think maybe Cantonese is a bit easier than Japanese because all the numbers have one syllable only and they never change form, making the chanting very simple. When you get to the double digits they're still based on the single digits like three ten four is 34, so you only ever have to learn the 10 words.
The YT video you shared is done very well, I tried searching for some Cantonese ones they're all a bit naff with animations and 5 year olds singing along 😆