They are a bit strange, in the first white has a queenside castled formation on the kingside and black has vice versa.
The second is the opposite.
I would consider them to both be castled.
The 3rd isn't really a castle - you're likely going to have to move the king again to get the rook into play. Probably by g3 and Kg3.
I would consider them to both be castled.
I agree, mirrored short and long castle basically.
How about this slight adjustment:
There is some common and rare formations that occur occasionally, for example sometimes the king decide to stay in the middle and may move one square towards the kingside for indirectly more protection, the king blocks the KS rook but the h2 pawn can be used for attack if the opposing king stays on the kingside.
Black's example may arive after allowing double pawn or piece recapture.
Do you consider these examples below as a castle.