Bureaucracy does tend to be inherently conservative, because it has to condense people into neat and tidy boxes in order to make them legible to an authority, so it will only allow formally defined categories, which will always lag behind culture. It also reduces people to numbers and strips them of their identities, which is another win for conservatism.
So it’s a great excuse for conservatives, because they can just say, “computer says no” and deny you healthcare.