This is from 2010 - a lot has improved in terms of providing training to other forces - the LCBs were raised by the SSG too. But much is true about the Ranger part.
SSG is trained on lines of US Special Forces but is used as US Army Rangers - even though at least at company-level the basic organization is kinda same (roughly 60 men per SSG coy). The US ODA system hasn't been adopted.
He also praises the role of SSG in training 'mujahedeen' in the 80s - AFAIK 13 or 14 teams consisting of 200 SSG officers, JCOs & ORs were involved.
IMO the SSG cannot exactly emulate what the Green Berets do - both are operating under a separate mandate, which has drastic difference owing to power projection of both countries.
The prominence of the Light Commandos has however helped the SSG in shifting from direct-action to selective, cautious deployment - last resorts and embedded at platoon-level with local forces (i.e. FC, regular infantry at LC).