An apparatus comprises a processing device configured to monitor a storage cache storing a plurality of cache pages to determine whether the storage cache reaches one or more designated conditions and to determine cache replacement scores for at least a subset of the cache pages, the cache replacement scores being determined based at least in part on input-output access types for data stored in the cache pages. The processing device is also configured to select, responsive to determining that the storage cache has reached at least one of the one or more designated conditions, at least one of the cache pages to move from the storage cache to a storage device based at least in part on the determined cache replacement scores. The processing device is further configured to move the selected at least one of the plurality of cache pages from the storage cache to the storage device.