Honestly, the Drake Equation, Fermi Paradox etc. feel like "One-eyed kings in the land of the blind" type of reasoning.
The "otherwise we should have met someone by now" is an absurdly weak criteria, given the distances and timelines involved.
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We know that life and intelligence are possible and that there are plenty of places for them to occur on:
We know the universe must be practically infinite. [0]
We know there must be practically infinite planets (here "infinite" being a substitute for trillions upon trillions.) [1] multiplied by [0]
We know that even lifeforms on the same planet may never come into contact with each other. [2]
We know that intelligent lifeforms can decide to leave other intelligent lifeforms alone. [3]
We know life can take forms that do not occur naturally on Earth. [4][5][6]
We know intelligence can take forms that do not resemble human intelligence. [7]
We know that lifeforms do not require humanoid bodies to be able to use tools. [8]
We know we don't have the technology necessary to conclusively detect life at distances beyond 2-3 planets adjacent to our own.
We know we don't have the technology necessary to disprove life – present or past – on other planets.
There is more evidence to support extraterrestrial intelligence than there is to infer that this is the only planet to harbor intelligent life.
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[0] https://en.wikipedia.org/wiki/Galaxy
[1] https://en.wikipedia.org/wiki/Milky_Way
[2] https://en.wikipedia.org/wiki/Dinosaur
[3] https://en.wikipedia.org/wiki/Uncontacted_peoples
[4] https://en.wikipedia.org/wiki/Hypothetical_types_of_biochemi...
[5] https://www.newscientist.com/article/dn20906-life-like-cells...
[6] https://en.wikipedia.org/wiki/Genetically_modified_organism
[7] https://en.wikipedia.org/wiki/Artificial_intelligence
[8] https://en.wikipedia.org/wiki/Octopus#Intelligence