There are centreboards (not lead-filled) that use the movement of the boat to counteract leeward drift and there are are lead-filled keels that in addition to that also act as a counterweight to reduce rolling. If it’s lead-filled it’ll be hard to capsize, if it’s just a centreboard you can easily capsize it if it’s not moving (and use the centreboard as a lever to recover it afterwards).
There are centreboards (not lead-filled) that use the movement of the boat to counteract leeward drift and there are are lead-filled keels that in addition to that also act as a counterweight to reduce rolling. If it’s lead-filled it’ll be hard to capsize, if it’s just a centreboard you can easily capsize it if it’s not moving (and use the centreboard as a lever to recover it afterwards).