Not so at all. And why single out "spree killings". The number of Spree killings with legally owned shotguns is even smaller.
Recent knife murders: Lee Rigby, Steven Timms, Lapshyn, Jo Cox, Westminster, London Bridge, Finsbury Park, Reading, and countless other incidents pretty much every weekend which may or may not have fatal outcomes.
Blades are a massively bigger problem than guns in this country. You're just employing a set of arbitrary rules to suit your position. That's ok if you want to go that way but it's not a logical position.