Contrary to what I said earlier, Falcon has decided to deliberately disable statement-based replication using the same capabilities mechanism that InnoDB uses.
The reason is that isolation between concurrent transactions cannot be guaranteed, meaning that two concurrent transactions are not guaranteed to be serializable (the result of a concurrent transaction that has committed can "leak" into an ongoing transaction). Since they are not serializable, it means they cannot be written to the binary log in an order that produce the same result on the slave as on the master.
However, when using row-based replication they are serializable, because whatever values are written to the tables are also written to the binary log, so if data "leaks" into an ongoing transaction, this is what is written to the binary log as well, so that when the transaction commits, the values written to the table are the same as those written to the binary log.
It is a rational decision, but I hope that Falcon will support statement-based replication as well in the future.