I mean you can't carry into a county courthouse so I assumed you couldn't carry into the captial.
Same here. I occasionally have to go to the Capitol Building (not on the House Floor) and never even thought of open carrying there.
The county courthouses are restricted from open carry by court order, not state law. I think it's a good order, though. Emotions can run very high and not all the people there are paying parking tickets. Some of them are real criminals.
BTW, Kentucky started using metal detectors years ago after one lawyer pulled out a gun in court and shot another lawyer for allegedly cheating with his wife. The judge on duty had played college football and tackled the shooter.