I am of the opinion that "reforming" the Watchtower organization to any significant degree is impossible.
As you pointed out, Christ described this situation perfectly in his parable of the "wineskins." In it he said, "No one pours new wine into old wineskins. If he does, the new wine will burst the skins, the wine will run out and the wineskins will be ruined. No, new wine must be poured into new wineskins." (Luke 5:37,38)
We know that Christ's parable was told in response to complaints that his disciples believed and behaved differently than "John's disciples," "the Pharisees," and "the teachers of the law." (Luke 7:30, 33) We also know that "new wine" produces gases which exert pressure on its container as it ferments. That is why in ancient times "new wine" was always put into "new wineskins" which were soft and flexible enough to change shape a bit as the "new wine" fermented, without coming apart at the seams.
With these things in mind, the meaning of Christ's parable seems quite clear. Jesus was saying that quite often the false teachings and man-made traditions of a religious organization are so much a part of that organization that they make it spiritually inflexible, and thus incapable of any significant change. Christ's parable indicated that, for that reason, Christ knew that none of the religious institutions which then existed were capable of the major changes which would be necessary for them to serve the spiritual needs of his disciples. For those religious organizations had become so filled with false teachings and non-scriptural traditions of men that those false teachings and man-made traditions then formed what amounted to the entire fabric of those organizations.
Thus, if Christ had told his disciples to stay in those organizations in an attempt make them into Christian organizations, their doing so would not have reformed those organizations it would have destroyed them. For, like old hardened wineskins, Christ knew that religious organizations which are almost entirely filled with false teachings and man-made traditions are incapable of any significant growth or change. And he knew that, like old hardened wineskins, any pressure exerted on them in an attempt to change them can, at best, only succeed in bringing about their destruction.
That being the case, since Jesus knew that the religious institutions of his day which were almost entirely filled with false teachings and man-made traditions, much like the Watchtower Society, could not be successfully reformed, why do some believe that the Watchtower Society can be?