I have gone so far as to buy a different pedestal - one with a full open back.
I've tried to cut some of the china out in various ways, but never found a way that didn't break the china.
I'm happy to say that most of my plumbing career was spent in an absence of pedestal basins. I'm sorry that they came back. I think clawfoot tubs should have stayed dead, too.
I recently was called to a home where the owner had a wall-mounted toilet tank - 'way up on the wall with brass piping hanging down. I don't much like those, either. It would be bad enough that they make those abortions, but they charge a huge amount of money for materials that are generally just garbage. On the long brass tube for the water supply, the pressing machine had made a crack or pinhole in the ring that holds the nut in place on the fill valve. Thirteen hundred bucks and he can't find the company to get it replaced. And they were so ashamed of their product that they didn't bother putting their name anywhere on it.