If we live on a habitable planet then it's logical to make the assumption that habitable planets are common.
That's what I take issue with. I don't think that follows.
If I have a random deck of cards, I can't assume that the deck order is common. Or, if I flip a coin 20 times I can't assume that the specific heads/tails order that results is commonly encountered, either. Just because it actually happened doesn't mean that the a priori probability of it happening was likely.
The Copernican Principle is assuming that all decks of cards or all flipped coins follow the same rules. I'm not disagreeing with that premise, but I'm showing that no matter how many decks or coins you use, the probability of any specific result may be infinitesimal even with as many decks as there are planets in the universe.
Showing me good reason to believe that earth sized planets have a 20% chance of showing up in habitable zones still doesn't answer the other questions I have about plate tectonics, elemental composition, magnetic fields, large moons, etc. Stacking dozens of variables with conditional probabilities can still produce numbers so small that even every star in the universe representing a "try" might not lead to a high probability result.
The math I'm talking about still works with weighted probabilities or conditional probabilities. The underlying factorial math expands the number of possibilities way faster than the number of "tries" can increase the likelihood of at least one hit.
The point is: the fact that something has already happened is not proof that it is a high probability event. The deck of cards hypothetical is merely an example of that phenomenon. Applying different weights (e.g., ignoring the suits of cards) doesn't change that basic mathematical phenomenon, both only re-weights the probabilities to be bigger. But lining up a bunch of probabilities in a row still multiplies them in a way that results in a infinitesimal probability.
If there are only billions of earth-like planets in our galaxy, and only trillions of galaxies, that's still only 1021 chances at life. Yes, that's an unfathomably large number for the human brain to process, but it's also nowhere near the numbers that can be generated through factorial expansion, so if the probability of life arising is something like 1030 on any of those planets, the expected number of life bearing planets would be pretty much zero.