‘Sawzall’ is one of those names that has become the de facto word describing an item made by lots of companies, namely the reciprocating saw. And when you use one, you want it to be nimble, but tougher than a CMU thunder shack.
‘Hey, get the Sawzall’—no matter what brand of recip saw the carpenter is asking for—is about as common a phrase on a job site as ‘get me a Band-Aid’ is around the house when someone actually needs a ‘plastic adhesive strip’ or ‘pop-sicle’ when the person really wants an ‘ice cream novelty’.
At any rate, Milwaukee Tool invented the Sawzall and still calls their long line of recips ‘Sawzall’ to this day. And, not surprisingly, they make a cordless Sawzall that kicks serious butt: The 18-volt battery powered 2630-20, which I have put through paces from deep freezes to every day remodeling.