I understand hostility isn't a term-of-art or something special, but in business parlance the sources I've read seem to point at hostility being the practical term for "without board/director/management approval"
The board determines management, and it appears the offer is only to the board at this time. Hostility depends on the board's lack of approval and continuation of the offer.
Maybe I've missed some news, but I only see Musk making a request to the board at this time. Although everything else seems to fit the normal fact-pattern of hostility (wanting change, not being satisfied with current power, escalation, etc.), technically I don't think we are there yet.
