Christ... 😂 They don't believe there is an alien ship out there, "for reasons unknown", they simply do not believe Ripley at all. They think she's batshit, hence the psychiatric probation. Yeah we're going to check out coordinates and spend resources on someone we've given psychiatric probation, that follows... WY and the ICC are separate entities, Burke only works for the WY.
Oh but that's all cover you see *X-Files music plays*
James Cameron: Burke acted alone.
Er naw!
James Cameron: Wut