The best two argument I have against this is one I put to a South African Workmate.
I did the Math accurately at the time but no longer have it so estimates will have to do.
I scaled up the age of the universe since the big bang and the distance light travels in that roughly 13.5 Billion years so that the beginning was our home town in Victoria Australia, and the end was in Johannesburg in Africa
I then worked out how far from home our first radio signal is. It was something like 1/20th of a mm I then said OK lets pretend we have been sending radio signals now for 1000 years. it was something like 1.2 mm
I then said so OK we are listening for chunks of radio signals from all different directions from here to Africa, in blocks of a mm or two at best. That happen to be landing on earth right now, and we have to be looking in the exact right direction with our radio telescopes at the exact right time. He then said, oh, OK i get it. Then if thats the case and it is so unlikely we will hear anyone, why bother. I didn't have an answer for that.
The 2nd thing against the Fermi Paradox is this. The question was, where are they? Some would argue all around us. just because they don't say take me to your leader, does not mean there not here alrady. While no 100% proof, lots of evidence and sightings.