My understanding is that Maltese Falcon does not have sheets. The mast is a large, freestanding structure and there is some form of furling for each panel into the mast. This clip shows furling:
The angle of the sails is controlled by torque applied to the mast. The required torque would not be much given the near balance of the sails.
This method of control gets difficult to achieve in smaller scale and would be very expensive. I just intended using sheets on the bottom corner of each panel running through blocks at the ends of each yard. They may need some purchase to the yard to ensure the panel was tight to the yard when the sheet was loaded. I was hopeful that the individual sheets could be linked and controlled by a single winch at either end.
A round mast will increase the drag on the rig unless effectively faired in some manner. The closer it is to the sail the less it works as a separate element and that means there is some beneficial influence of the sail. Maltese Falcon is reasonably fast but that is more to do with length. It is not an efficient sailing boat. It tacks through something like 120 degrees. Top speed under sail of 25kts is just a tad above hull speed of 23kts for an 88m vessel. The modern supermaxis are capable of boatspeed exceeding windspeed but they do not have the comfort of Malteses Falcon.
Rick
A fully balanced sail such as the Maltese Falcon pretty much needs bidirectional sheeting to control it.....or would that be a preventer?