I had to pay attention as I've never thought about it before, but people here "fiddle" or "mess around." I'm familiar with the listed uses of potter/putter/piddle, but can't say the last time I heard a real person use them that way.
I have to say I think the author was rude to chide the use of "potter" in favor of "putter". Language evolves, it's likely that a word can have more than one meaning.