They were both traveling on the right side of the road of (based on the supplied pictures from the articles) a two way, single lane each way street, and the ambulance turned right and didn’t cross any traffic, thus the Ambulance didn’t make a illegal turn.

Okay, I’ll try a second time to explain:

The ambulance did cross traffic, by definition, because the bicycle was to the right of it and counts as traffic. In order for it to not cross traffic, it would have needed to start the turn from a position far enough to the right that there would have been no space for the cyclist to be in.

Cyclists don’t purposefully cram themselves into tiny spaces between cars and curbs, you know. The only reason a cyclist would enter the space between the ambulance and the curb would be if the ambulance was waaaaaaay off to the left somewhere and left a huge (several foot wide) gap that invited him in, and that’s not something that is okay for a car about to make a right turn to do.

Bottom line is, it is illegal to right-hook a cyclist. If you hit a cyclist while performing a right turn, you fucked up. Full stop, end of. I don’t understand why people are having difficulty understanding this concept!

if there is a cyclist on your right, it doesn’t matter if there are two lanes, you don’t cut their path: if they go straight, they have priority

If you were turning right, and there was a pedestrian in the crosswalk, would it be okay to hit the pedestrian?

I think it would be fair to blame the infrastructure if we want. Bikes shouldn’t be exposed to right turning traffic. Clearly it’s a safety concern.

Nevertheless, regardless if you’re turning left or right, you still need to yield to whatever is in your way. Just because you are making a right turn does not automatically grant you right of way.