We can't look for aliens that are so alien we can't recognize their intelligence. There's little point in waxing philosophical about those theoretical intelligences when the scale of the universe suggests if
we exist then there probably a decent probability of other intelligences like us.
We know our solar system produced us and there's hundreds of millions similar to ours. With a limited budget it only makes sense to look for the low hanging fruit, intelligences we have a high likelihood of recognizing.
Just as an example, one of the reasons to look for SETI in the molecular hydrogen bands is the sky is filled with those signals from natural sources. The moment you build a radio telescope you detect those emissions. Anyone wanting to map the structure of the galaxy will be mapping molecular hydrogen emissions. So if you want to fire off an interstellar beacon doing so on a frequency alien astronomers will already be looking at is a very good use of your radio antenna time.