All shared memory systems have the same contention problem, and never reach close to the theoretical maximum memory BW when both processors are active at the same time.The theory is that even when contention is affecting PS4's BW, there's plenty to spare. If XB1's DDR3 is being affected to the same degree, there's far less available for working.
The ESRAM improves things, as most BW heavy GPU operations can use the dedicated ESRAM instead of the shared main memory. This reduces the contention to main memory (reducing the BW loss problem). Big caches, such as Intel's CPU/GPU shared L3 cache (and the L4 Crystalwell) serve a similar purpose. The other processor (CPU or GPU) has free reign to the memory system when the other processor is reading/writing data to/from the cache. Memory contention is one reason why we still see dedicated GPU memories in the lowest tier discrete mobile GPUs. Both CPUs and GPUs would need quite big caches to avoid the contention problem. Only Intel has big enough caches to really achieve this (64/128 MB Crystalwell).