Because it would be astronomically more expensive for the guest to have that. Plus this was more meant for adults from the get-go and character dining is fine and all but not everyone wants that, that's its own category of dining at Disney.
This is purely personal opinion but I actually think that would cheapen the whole experience and be more out of character for how they've portrayed Jack Sparrow, like can you imagine him dutifully stopping by each table? He'd be more likely to create havoc, be bouncing all over the place but then people would be upset that they didn't him by the table. And then photo ops. You're wanting a character dining table service experience at a place that was never designed to be that.
I didn't expect it to be anything other than Oga's which means the drinks aren't all that amazing because it's not like a true bar bar, it's a highly themed place pulling on the adults inside the theme parks. I think they were clever even though I'm not so enamored with it to create the rooms and theming that means a person is more likely to come back to try and see more of the theming. With Oga's there's less of that due to the design of the building being more one big room.