I'm going to say it again, dismissing Exploration just because "If it doesn't give us something amazing it's a waste" seems like folly to me. We got that map for a reason, and it wasn't to shove it under our pillows and forget about it.
Major Sites after all have been proven to be super good, and even a minor site can be good if it's got Wind. Hell, what happens if we find a site that gives a modifier to Base Cultivation? Doesn't that save us an absurd amount of AP?
We aren't dismissing the map though, and I do think there is worth in "we are using the map to show Ling Qi is curious". Assuming the map is
going to give us something, however, is folly.
We get three rolls per AP of exploration.
One AP give use 1-0.65^3=72% chance of getting a site or better. A site can go from 0.10 to 0.25 AP per use (minor or major). Given how we lack both a darkness site and a wind one, and that we will have hundreds of AP spent on arts, it's very likely we will get our money back so to speak.
We actually get two rolls per AP, Shen Hu gave +1 roll per AP, he was really useful. We also can't control the types of site we can get. Not only that, but we aren't going to have hundreds of AP spent on wind arts.
Getting a wind site is likely to give 10% increase in training speed for wind arts in particular, and so we'd not only need 10AP to 'make back' that AP spent, but we'd also need for us to
not find a better site during that time, and every job
also proc a exploration roll (and we do lots of jobs).
Currently, we aren't looking to get more than 2AP to wind arts before turn 8 if we go exploration this turn. Amusingly, if we do learn ENM, this changes. In the very best scenario where we get exactly what we are hoping for, exploration will maybe pay for itself next year. More likely though, we'd find another better site before then.
However, the chances of getting a wind site itself is pretty low. Not only do we need an above average roll, but we also need it to give the exact site type we want, and not, say, a fire or thunder or mountain or earth or water or whatever site instead.