Pedestrians very often get the green walk sign at the same time as cars in the same direction get the green straight ahead sign that implicitly allows right turns as well. In that scenario, the cars are often located just behind the pedestrian's peripheral vision, and the cars are looking up and ahead at the light (or maybe to their left if they were previously hoping to execute a right on red and waiting for a gap in traffic), so it becomes basically exactly what you were talking about with bikes. Cars turning across a "lane" of pedestrian traffic with neither party having good visibility of the other. There are a couple of solutions/mitigations in use for this problem, dedicated "all-red" pedestrian cycles, protected intersections that move vulnerable road users further forward to be more visible, and advanced pedestrian greens that make cars wait until pedestrians are already in the intersection and more visible before getting the go ahead. Or, if your city is like mine and car-centric, they might stick up a yellow sign on the opposite light post across the stroad that says "pedestrians yield to turning vehicles" in text that is just barely legible from across the street at an intersection that has audible wait and walk indicators for blind people who definitely can't read that sign and will thus be endangered for not getting the memo (not that car drivers are reading it either, so several considerate drivers will wave the pedestrians forward, further confusing the right of way situation). Fun!

In short, every turn you make as a driver should be accompanied by a check for vulnerable road users like cyclists and pedestrians because our infrastructure will not necessarily put them in a place that is easily visible to you