A method in one embodiment comprises separating logical block addresses of one or more storage devices of a storage system into a plurality of ranges of logical block addresses using a designated chunk size, the chunk size denoting a particular number of logical block addresses. The method further comprises assigning different ones of the ranges of logical block addresses to different ones of a plurality of cache entities of the storage system, to select paths for delivery of respective input-output operations from a host device to the storage system based at least in part on the assigning, detecting particular ones of the input-output operations that each overlap with two or more adjacent ranges of the plurality of ranges, and responsive to the detected input-output operations exceeding a threshold, modifying the chunk size and repeating at least portions of the separating, assigning, selecting and detecting utilizing the modified chunk size.