Not sure what relevance your metaphor has on Brexit since the voting public did not have "all the available information." Because no one could have possibly known what the terms of Brexit would be, because they would have to be negotiated.

Which was the problem with the referendum. As in the example comment above it was like asking "Do you want lower taxes?" Well that kind of depends on a lot of stuff. Are the lower taxes coming from budget cuts (if so, from what), debt increase, or what?