It's my understanding that you have to broach the interior of that case tube in order to accommodate the thickness of the shaft on that crown.
For example, startimesupply sells a replacement
24-5300 crown tube that requires broaching in order to be used with a 24-530 crown, but also sells alternative replacement crowns
24-5320 and
24-5330-SS that do not require broaching. In particular, here is what startime's sales listing for the RP24-5300 states:
Swiss Case Tube and Gasket. Replaces Rolex 24-5300. Use for Rolex crown 24-530. Fits Star Time Crown RP24-530W and RP24-530Y. Must broach inside tube after the installation to fit crown. To avoid broaching Use RP24-5320-SS or RP24-5320. Use Tool TRCT53 or TRCT5320(M) to Install/Replace
Link to startimesupply page for Rolex crowns.