High-performance processors support a write streaming mode: a write-on-miss policy intended to optimize both performance and power-savings when writing large blocks of data. The goal of this work is to study ways to improve the streaming mode in a Cached Memory System to enhance the overall energy efficiency of a pipelined, superscalar and out-of-order Arm processor. Preliminary investigations with a software model of the CPU show the distribution of the writing patterns exhibited by benchmark suites and the performance of the state-of-the-art streaming mode, illustrating how wrong decisions in data streaming could lead to higher backpressure from the core of the CPU.