Personally I'm a big fan of manual ratcheting cable cutters. Easy operation in the tree, with no need to brace yourself, and they cut the cable by compressing from all sides, so that the cut end stays together and threads easily if you're using end pieces into which the cable must be threaded. They're a real game-changer in terms of ease of use. I bought a set made by Baudat in Germany. They're not cheap, but they're worth every penny.
If you go to Saluting Branches I'd like to try a cut. My angle grinder is great, but melts the wires together just a tad and is obviously more dangerous/complex/heavy than your Baudat.