I've not heard that, they certainly don't look the same, all my Kinchrome are satin finish, whereas Sidchrome is all polished finish, so I doubt they're made in the same factory. That, and I quite like the Kinchrome screwdrivers, with the rubber grips & shotpeened tips, mine get a hiding, nearly 10 years down the track, they're like new.
I think it's great that apprentices get the "Tools For Trade" allowance, I remember being constantly broke from buying tools. And beer...