The memory usage stats reported in Memory.Total.PrivateMemoryFootprint increase by ~13-20MB with the network service enabled. This is more than the expected increase for process overhead.

It's possible the memory is being overcounted, see this doc for more details: https://docs.google.com/document/d/1gF3JVf10J0xr2u13gNKWW63tMTMBrGG_aLzgS0XfdhE/edit#