SN95 refers to all 94-04 Mustangs. They are built on the Fox4 chassis. New edge is not a Ford official term.
Terminator is different as that was the internal Ford codeword for the 2003/2004 Cobra. The side scoops are the only part on the car stamped with this internal codeword and that was by mistake.
Focus was referred to as Piranha. No different than Coyote or Trinity for the S197 chassis motors.