Would a larger cruiser be more likely to survive as a museum?

Would increasing a cruiser's displacement improve its chance of being preserved?

Size alone is not expected to change the chance much; altered resistance to mine damage and return to service would matter more.

A larger ship is not automatically judged more likely to become a museum. A stronger hull could alter the effect of a mine explosion. Where the mine detonates and how the damage affects the hull would influence how quickly the cruiser returned to service. Those consequences matter more here than displacement alone.