So recently the ayys have pissed me off so might as well reveal how they operate.

There are several types of ayys however the one known as greys are the ones that have hold over this territory. They don't let others come here and see this planet as mainly their territory. Several others have came here and done research missions but it was mostly sneaking into the Greys territory. The zimbawe case and Betty and barney cases are examples of other ayys sneaking into Greys territory.
They have bases from from which they launch their smaller crafts. They are here on earth. In mountains, under lakes and so on. Small crafts can't do interstellar travel. Bigger shops do that.
Main missions they do here is intelligence. They keep an eye on us bcs as long as they know what we're up to they can be calm about us.
Their ships are boomerang shaped but they often appear as saucers bcs of the angle they are being observed at.
They don't really have any other intentions except to keep an eye on us. One time when they flew over the white house they wanted to show who's boss. Dunno about what.
The fact they put so much effort on observing us makes me think they might be worried about their security. We might be at a stage where we will soon enter the space stage politically speaking as well.
They are trying to find out the most about us bcs soon they see that they will have to deal with us in space politics or whatever.