As a European, most people I know have a very vague idea of what EU is or does. They know it's a trade union and that you can get across the borders easily and even work in other EU countries, but beyond that it's a blur. Like if you ask them what the difference between the EU parliament and the EU commission is they wouldn't be able to answer. They vote because "I guess you should" but don't really know what they are voting for.

So even though they might be elected, you can't assume that their actions represent the will of the people (I should really say peoples, plural, because Europeans don't really consider themselves a people either).