I thought we were going to consider moving the warrior first depending on our fog gazing. Moving the warrior could expose hills, which could have gold, silver or gems.
Here's the starting screenshot again:
Warrior 1SE reveals 1 hidden square that would be used if we settled by the Dry Corn and Crab.
Warrior 1NE reveals a bit of the water, to tell us if there is additional Seafood there.
Neither move is particularly compelling if we really don't think that we'll head to the east and settle on the Coast with our capital.
Therefore, Warrior going 1SW + 1SW or 1NW + 1NW could be more useful to us... that is... if we don't settle on Turn 0.
So, depending upon what we do, the Warrior's info could be a bit helpful, but is most likely going to be meaningless.
Could we just axe rush someone, and see who has a -1 for "DOW my friend"?
Nothing stops us from Axe-rushing an AI. We will not learn much about which AI has a Random Personality based on "DOW my friend" negative Diplo modifiers, unless we intentionally declare war on an AI with whom other AIs are Pleased and Friendly, and only then, we will only really narrow things down in a useful manner if it is one of those few AIs that really care about war declarations enough to give -2 instead of -1 as the penalty. That's a very costly way to learn, though, since it's a permanent Diplo hit.
There is the whole "X number of turns before being willing to talk" modifier, but since other factors (like war success) play a role in that determination, I'm not sure that we can conclusively say anything from the XML's value for willingness to talk after a war declaration. Some code-digging might tell us for certain if we can learn anything in this manner, but it is certainly not the most straight-forward manner to determine an AI's Personality.