You have to be in a very specific place in time and space to receive radio transmissions from another star i.e. even if a technological civilization existed on the nearest star but they only transmitted high power broadcasts for 200 years but did so 100,000 years ago then we would have missed them completely.

Detection of radio transmissions is only plausible if they are intentionally high power, on a suitable frequency, directed and long duration and there are enough civilizations popping up in the galaxy to make the odds of us coinciding with them in time and space high.

Our radio waves become very faint at light year out. You need a powerful radio signal for a long enough time directed at locations where aliens might be listening. The SETI astronomer Jill Tartar suggested committing to a 60,000 year project if we want a decent chance of being heard, assuming someone is out there in our galaxy listening over that time period.

Eh, if the period between radio and nuclear/climate/AI apocalypse is short, I don't think that's true at all.