Not sure. I don't think there is any real equivalent. Probably the Abraxas is the closest in terms of output and EQ, but I don't think they sound similar.
Probably I'd say a Cold Sweat in an SG is closest to a Piledriver in a Telecaster, in that the SG negates a lot of the CS scoop. In terms of output the CS and PD are closest, but the mids are less in the CS.