The real problem with thinking of alien intelligence is.....for how long in a species history would the kinds of signals we listen for actually be used? We've been using them for just under 100 years, about 1/60th of our recorded history or 1/1000th of our species' estimated time of existence or 1/38,000,000th the estimated time life has existed on Earth. How long before radio signals aren't used for communications much?
An alien species' version of SETI could have pointed at our star 5,000 years ago, after all it is probably the prime kind of star to listen at, and they would have found nothing, even if they kept checking back for the next 4,900 years they wouldn't catch a hint that we were here.
Look at that and think of the odds, should two sentient species meet, of them having anything like similar levels of technology.