A storage system in one embodiment is configured to participate as a source storage system in a synchronous replication process with a target storage system. In conjunction with the synchronous replication process, the source storage system receives write requests from at least one host device. Responsive to a given write request being a multi-page write request, an entry is created in a first journal, where the first journal is utilized to ensure that the given write request is completed for all of the pages or for none of the pages. Responsive to the write request being a single-page write request, an entry is created in a second journal different than the first journal. An address-to-signature table is updated utilizing write data of the write request, and if the corresponding entry for the write request was created in the first journal, the entry is swapped from the first journal into the second journal, and the write data of the write request is sent to the target storage system.
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