There is a lot of great material available on Men's Sheds.
Here are a few sources:

1) Where's the Proof?
Men's Shed Ottawa Centre's web page collection of proof of Shedder's assertions

2) Men’s Sheds: Men Helping Men
November 5, 2019 By Wendy Haaf goodtimes.ca

3) For those who want a deep dive, there are two books edited by Barry Golding.

Each is over 400 pages long.
We know of no other source more complete or authoritative:

The Men's Shed Movement: The Company of Men – Aug. 14 2015

Shoulder to Shoulder: Broadening the Men's Shed Movement – Oct. 14 2021