I know this is getting off topic but this sub topic is really interesting too. I'll mention bikes to keep it relevant by saying that it would be interesting if aliens had all their superior knowledge and technology but did so without ever going the route of the wheel. They may find our bikes to be the most interesting thing they have ever found in the universe!
Back to the subtopic at hand: finding them or them finding us may be futile. Someone once framed it by asking what if a blind cave fish ever wanted to find the mythical human and make contact. Generations ago another fish swears he heard human voices in the cave. They feel like they are making progress and they may make contact any day now. They wonder why we haven't made contact with them yet.
We, like the blind cave fish, may be waiting a long time for first contact.