I don't know much about Lagrange points specifically, but it sounds like this one is an "unstable equilibrium". Even if you could park on exactly the right poin

I don't know much about Lagrange points specifically, but it sounds like this one is an "unstable equilibrium". Even if you could park on exactly the right point, any tiny force (changing gravitational pull of other planets, dust impact, even light pressure from the sun eventually) would nudge you off of it and you would start accelerating away from it.