I have not performed a 2013 upgrade, but the answer is yes. Moving away from anything platter based will always be faster. I have a 2011 with TB1 and boot off NVMe via a TB3 enclosure. The R/W speeds are roughly 4x faster than the platter inside and I didn't have to take it apart, although that isn't that difficult in a 2011 a 2013 looks a bit more difficult.