With regards to 'Snap Cuts', I personally feel that they are a vital resource to an arborist. Yes, they aren't always needed or required, but when you are in a certain location or situation that you need a little more control and don't have enough room to rig them down.....snap cuts work great! I totally agree that they work great if you need to throw piece away from an obstacle. Yes, the arborist can cut small and large blocks straight through and then throw them, but the level of 'safe' control is diminished. Snap cuts allow you the time to holster your saw and then worry about throwing the wood.
My bet is that this arborist and crew were simply hired to get this beech to the ground.....no clean-up. This would explain the large chunks and small snaps.