Funny story about that - I was showing my wife the support matrix on one of the prints, while I was carefully snipping it away, she said "on cool can I see" and *RIPPPPPPPPPPPP* tore the whole matrix clean off. That was the last time I ever used snippers to remove the matrix.
It does leave tiny areas where it was connected, but haven't had any other issue and just rip it off. Not sure how I would handle it if the support piece was on the detailed side.