Sky will appeal to CAS, they will rule in favour of Froome. The rules are clear, Froome is free to ride unless he is charged with a doping violation by the UCI.
It's not directly the (absence of a) doping charge they claim is the problem here, ASO has the right to block anyone that 'threatens the reputation or image of the organisation or the event'. Not very clear cut in any case.
Sky will appeal to CAS, they will rule in favour of Froome. The rules are clear, Froome is free to ride unless he is charged with a doping violation by the UCI.