Absolutely not particularly if the casing is cut--don't be penny wise and pound foolish!
Not worth the risk!
It is hard to say how many flats I've had. Maybe a thousand. Hmmm... at least a few hundred.
And... SURVIVED.
I know I blew the bead off of a trailer tire, but that hardly counts. Quite a few rapidly deflating flats, but I don't remember any other blowouts. I did roll a poorly glued sewup once a long time ago, but I don't think I went down.
I guess it is hard to get too uptight about it (although I hate glass and like flat resistant tires).