I wonder what FB's policy on this will be going forward. In many ways, these livestreams are a public good and provide transparency and additional accountability in these situations. If people elect to stream them, it seems wrong to shut it down. On the other hand, perhaps there is a public good in not showing an ongoing live police operation?
I think I'd lean toward not agreeing to shutdown such streams, unless perhaps it's a hostage situation or terror event of some kind. (Getting into squishy definitions there, I'm sure, which is why I qualify it provisionally.)
As to this particular incident... I wish the deceased hadn't resisted. It seems in this case the police exercised much more caution and restraint than has been the case in many other recent examples of shootings. And I think one thing generally stands: if you threaten to kill a police officer and especially if you do so while holding a weapon (or certainly pointing it at them), you're likely to be shot.