But however much we rely on emotions and intuition in our own thinking, they're not easy to communicate, especially to skeptics. Those of us with a scientific and skeptical mindset try not to accept irrational arguments from other people. [2]
So, in some sense, an idea without a rational justification isn't worth very much (yet), because you can't convince most people that it's correct. But it still might have a lot of potential! And if we're talking about hacking then there are other forms of persuasion (code and demos).
[1] http://changingminds.org/explanations/emotions/emotion_decis...
[2] This is especially true of mathematics where rational arguments (that is, proofs) are valued far above any other kind of argument.