I'm not sure there's any really good book that furthers this argument (possibly The Perfectionists or One Good Turn?) but it sort of becomes obvious when you read about Maudsley (https://en.wikipedia.org/wiki/Henry_Maudslay and https://en.wikipedia.org/wiki/Screw-cutting_lathe) and Wilkinson (https://en.wikipedia.org/wiki/John_Wilkinson_(industrialist) and https://en.wikipedia.org/wiki/John_Wilkinson_(industrialist)...

the cannon boring machine was what enabled the efficient steam engines which unlocked large mechanical shops (along with high quality cannons), while the lathe enabled precision machine tool making. I am sure many things had to happen around the same time for the revolution but IMHO the lathe was the true linchpin

There's a great Machine Thinking video about the history of the lathe that makes this point: https://youtu.be/djB9oK6pkbA