Heterogeneous memory systems, and related methods and computer-readable media for supporting heterogeneous memory access requests in processor-based systems are disclosed. A heterogeneous memory system is comprised of a plurality of homogeneous memories that can be accessed for a given memory access request. Each homogeneous memory has particular power and performance characteristics. In this regard, a memory access request can be advantageously routed to one of the homogeneous memories in the heterogeneous memory system based on the memory access request, and power and/or performance considerations. The heterogeneous memory access request policies may be predefined or determined dynamically based on key operational parameters, such as read/write type, frequency of page hits, and memory traffic, as non-limiting examples. In this manner, memory access request times can be optimized to be reduced without the need to make tradeoffs associated with only having one memory type available for storage.