I don't think anyone's worried about getting killed by a bike, they're worried about getting hit and being hurt. I totally understand, since a lot of bikers ride like maniacs and don't seem to give a shit about the rules.
Coincidentally, I almost got mowed down yesterday by a girl on a citibike. She made no attempt to slow down and if I hadn't stopped in the crosswalk, she would have hit me. As a native New Yorker, I am weary of cars, buses, and trucks, but I know where they are going to be, generally speaking. Bicyclists are a less predictable variable. They are harder to spot and don't obey any traffic rules to any large degree.
That said, I have observed that if they are a commuter with a helmet on, then they are likely to stop at lights and for pedestrians. If they have no helmet on, or are riding a citibike, then all bets are off and I should be very careful if they are heading my way.
I've always found that the safest way to cycle in a busy city is to behave as similarly to a car as possible. If you're acting like a car and participating properly in traffic flow, it's far less likely that you'll get into an accident or altercation with a vehicle.
This is helped enormously by 20mph speed limits around the city where I live. It means that at a busy junction in the city center, I can accelerate away and get up to traffic speed as quickly as a car, if not quicker.
Pedestrians on a phone are a danger to themselves, and can maybe cause an accident if they wander by mistake on the street. If I bump into another pedestrian I'm pretty sure I'll be fine.
A biker is a 60kg bag of meat coming at you with 15km per hour. They are completely silent and love riding on sidewalks.
