Bringing this back to Adventurer's Club, I think this bar and that is a good example of the contrast between an older kind of "adult oriented offering at Disney World" vs the current trend of "premium experience for Disney Adults"
What made the Adventurer's Club "Disney" was its scale, the lavish, period decor and special effects, the number of eccentric, costumed performers and the uniqueness of the whole thing compared to other venues elsewhere in the USA. It was an experience you could only get a Disney, but there was nothing about it that was based on a Disney movie or property when it was conceived. It later became the stuff of Disney lore referenced elsewhere, but that speaks to how much it captured the imagination of those who visited. It was made with the hope that its quality and quirkiness would appeal to its intended audience, and it succeeded at doing so on the strength of its own merits, not with existing branding.
What makes Beek and Barrel "Disney" is its location right next to the Pirates of the Caribbean ride and association to the Pirates of the Caribbean movies. Even Rummy is a deep cut Disney Easter egg that's better appreciated when you know where he comes from. Would a similar, less "Disney" Pirate bar elsewhere have the same cache? I might if it found an audience organically like Adventurer's Club, but Disney doesn't want to risk that by not physically and visually tying it to the franchise it's based on. That doesn't make it bad, that just places limitations on it when you think your patrons want the only thing you feel comfortable selling (IP) and maybe need it to fit within existing park space.
somehow the kids who were sitting next to their parents and neighbors who were drinking did not spontaneously combust, or immediately start doing meth. 
