I highly doubt that the outlet cut the wire.
I'm guessing the guy who stripped the wire is the one who screwed it up. I've got a lot of the push-in types in my house and I've never had a problem as long as the wire was good when it was pushed in.
You can get outlets that have both screws and the push-in holes, too.
1988 Coleman Sequoia - popup (1987-2007)
2012 Roo19 - hybid (2012-2015)
2016 Mini Lite 2503S - tt (2015 - ???)
2011 Traverse LT, 3.6L, FWD
2009 Silverado Ext Cab, 5.3L, 4x4, 3.73
2016 Silverado 2500HD Dbl Cab, 6.0L 4x4, 4.10