It's a confusing label, yes, but it's tied to the history of the pedal: think toe-clips, which modern clipless systems aim to replace. I agree; it's unfortunate the early proponents of the technology couldn't come up with a cool and less misleading buzz term.
The "standard" pedal you're referring to is generally called a platform pedal.
Clipless pedals, if you're comfortable with them and using them properly, are perfectly safe anywhere. In fact, most who've used both would argue that toe clips are more cumbersome (and thus dangerous) in situations like traffic, where getting in and out quickly can be an issue. One of the standard techniques for riding with toe-clips and straps, for instance, is to ride with the straps untensioned while in city situations; the rider would tighten them down on the fly upon hitting open road. Tightened down, the straps require dexterity and luck to exit.
With a little practice, though, even a newbie should be able to get in and out of a modern clipless system reflexively.