No and No.
I live just outside of Cambridge, Ontario, Canada where the corrolla is made, and make regular jaunts down there. And the Corolla is pretty much a badge job.
Matrix, Corolla, Celica all use the same 1.8L engine with just different options, ( VvTi, bore, stroke...etc.)
The Hp are 123, 130, and 140 respectively. I doubt the GTS will have the same 180Hp engine that goes into the Celica GTS, as it would take valuable sale away from an obviously more expensive model.
But... even if it did, 180Hp is no match for an easily tuned 205Hp+ on the red-top SR's.
Hope that helps,
-Jarret