It's still generally true that being up a large amount of material for example tends to lead to checkmate. In a very large percentage of the huge database of positions with overwhelming advantages in material, mate would result. That is indeed an objective fact, I would argue, even if a computer with unlimited vision would not need to know such a fact to solve chess.
I wouldn't disagree that even if in principle everything can be derived, it's not necessarily the most efficient for humans to use such a formal logic process all the time -- that's what intuition is for. However, I think formal reasoning can be good when you are stuck -- when you check for what you're assuming about the position, you may find that you were assuming something too quickly, and this may help you consider a "weird looking" move you otherwise wouldn't have, perhaps a "brilliant" one.
Can't work out how to import games as yet.
I think it's irrelevant that brilliance may seem illogical or whatever. Intuition involves cutting corners and recognising patterns maybe on a subconscious level. It is irrelevant to our purposes that obviously every move or even every state of affairs in the universe has some sort of causal logic to it, if we aren't privy, at least consciously, to that logic. Really there's no such real thing as "objectivity", which is only an attempt to bring more criteria into our subjective assessments and it all sounds a bit like these "philosophical determinists" who insist that if everything about a state of the universe is known, then all future states could hypothetically be calculated since there's only one possible effect or outcome for each cause. I'd like to see these people prove that any cause cannot have more than one possible effect!