Snipers were trained as scouts in the Canadian Army and organized into a scout & sniper platoon in NW Europe. When not operating as sharpshooters, their role was reconnaissance.
What sources are you consulting re: War Establishment? I'm finalizing a draft of a book that will answer many of these questions in detail and curious whether my research will match yours.
Some discussions on WEs have occurred on this forum and Dan Martel has been generous enough to provide me with copies from his collection. I've had correspondence with others also that has unfortunately been lost in a hard drive crash so I hope I'm not leaving any names out; Mark Tonner is also a good resource of primary info, ditto Ken Joyce.