We also have reasonably compelling evidence that both factors are important for intelligent life to arise. Or, more precisely, good reason to believe that extreme axial tilts and cometary impacts are really, really bad for the biosphere. So the importance of those factors is itself not exactly arbitrary.
It is obviously an assumption other intelligent life will be like us, we do not know of any other intelligent life to be able to say otherwise. But if I'm looking for life, especially intelligent life, I will look for planets having conditions similar to ours. This is because our sample size is just one, us.
It could be that NOT having gas giants around is how intelligent life ACTUALLY exists in 99.99% of the cases of intelligent life in the milky way galaxy and Earth is the 0.01%. But if I have looked a lot and still just have Earth to guess with, I will continue looking for Earth-like planets. There is no way for me to actually know, but I don't want to waste my time.
I don't think we know the former and we kind of sort of maybe know the latter for the Solar system right now. As to the rest, I don't follow the relevance, we're not talking about searching for intelligent life at all.
You're right about the former not being certain, but it's definitely rare amongst the planets we've found? And the latter is quite certain.
What else are we talking about?
I mean this thread was not about how we search for life. It's about an estimate of the prevalence of intelligent life - an 'explanation' for the Fermi paradox. I'm saying it's basically a story.
What do you mean? 'You have to replicate the solar system to come up with intelligent life' is a gigantic assumption, on top of the 'solar system-like planetary system are rare' assumption. Is this a conceivable narrative for the Fermi paradox? Sure. But it's hardly supported enough to make a reasonable probabilistic argument out of it.