While I agree that touch-typing isn't the primary skill of a competent, fast programmer -- it is still an amazing skill to have.
Although I've been touch-typing for almost half a century, it still fascinates me that the words appear on my screen simply as I think them. I don't even have to speak those thoughts -- my fingers automatically race around the keys and the words appear. It's almost like a direct interface between my mind and the computer.
Yes, I'm pretty fast -- about 140wpm which makes the whole experience even more fascinating since the words appear almost as fast as I think them.
Would I recommend that people learn touch-typing. Hell yes... I think people should learn *everything* they can, while they can. When you're young it's so much easier to learn than when you get old (like me). There are so many things I wish I'd learned when it would have been easier to do so -- foreign languages, playing a musical instrument, etc,etc.
However, here I am, a relic of the past. I can program in assembler for lots of 8-bit micros from the Signetics 2650 through the 8080, Z80, 6502, 6800 etc; BASIC, Pascal, C, Modula2, Java but now I'm faced with learning the intricacies of Python, Kotlin, Rust and crafting AI queries. It's getting harder every day because my brain seems to have simultaneously run out of RAM, CPU cycles and backup storage all at the same time :-)