Also at this point I'm not even sure if "general" intelligence is a thing that exists or can exist. Humans have a specific intelligence which is very specifically designed for the world and universe that we live in. Intelligent machines will have to be similarly designed.
The further we push the boundaries of what we know about engineering, the more far fetched that paradigm becomes. I predict that mankind will see more successful breakthroughs when they start looking at organic systems through the lens of deliberate system design rather than spending so long kidding ourselves that it was all achieved by chance against impossible odds.
IMO, the genome is like an abstract system which was "designed" for evolution. It can move in one direction or another on the phenotypic plane actually extremely quickly under strong environmental pressures (on the order of only a few hundred or thousand years). And the winds of environmental pressures are frequently shifting, producing what was likely a very thorough and aggressive search of the state space.
I agree there is probably a lot to be learned from further study of the human body and brain, but we will have to re-invent a lot ourselves too since the machine capabilities we are looking for are really a lot different than the constraints that humans were shaped under.
Even the behaviour that most people call 'evolution' relies on our genetic information system.
We have never in our history, ever, seen a system work with such and so many deliberate intentions in managing encoded information that wasn't the product of deliberate intention.
The burden of proof is on those who say that the work of all the software engineers on this website could all be done if you just leave a computer on for enough time. By this logic, the computer left alone will design its own hardware and supply chain, its own OS, its own backup system too, etc etc.
We create systems, we know enough about them to know how hard they are to maintain. And how much effort it takes to create a working system. Even a python hello world is built on >thousands of hours of software engineering. Why should something like the cell be considered any differently?
Also, the longer any complex but lifeless structure in that scenario exists, the more likely it is to be destroyed by natural forces that we know and operate with every day.
It's not likely, in fact, it takes more faith to believe in those odds than it does to believe that humans are the deliberately engineered.
Also, your second point is the wrong question being asked. The first is "how likely is it that life arose by chance in a lifeless universe?" The second should be "how likely is it that this ordered and organised system in front of me is the product of engineering and intelligence?"
Based on what we know about information management systems, it's extremely likely that any information management system that we stumble across is the product of intelligence and intention.
The main reason why I draw parallels is because my main objective is progress towards machines achieving human-level intelligence. We already have an "AGI" which works incredibly well; the human brain. We should be studying it as deeply as possible and borrowing its means & mechanisms for use in our machine intelligence systems. Trying to re-invent the brain from scratch is surely going to be far harder.