If the acquisition of electrical energy is done through an "anaerobic" process (then performed on a large surface), you have to decide whether this energy is centralized or not:
Centralized or Decentralized
A centralized mean of transportation would looks like human's blood distribution system: with larger to smaller wires like human's major arteries and smaller ones.
A decentralized way is like the mesh you describe implies a uniform distribution of power in its body, its organs would share power and be in electrical equilibrium.
According to : Biology SE Maintaining life (at a human scale) doesn't need much power: 80 watts, on an electrical scale it is a common light bulb, then it is your choice to determine current and voltage in your creature body: whether it is harmful or not to cut your creature's spine.
Power = Volt * Current
Harmfulness is a combination of high "enough" voltage for your body resistance, current and exposure time. Very high voltage produces electric arcs (31.3 kiloVolts are needed for an arc in 1.0cm of air ...)
Also voltage and current in its body could vary accordingly with its energy consumption, it would be higher when providing a physical or mental effort.
The question of storage
One thing to think about is that electricity has to be either Generated continuously and/or Stored
I don't think your creature couldn't store Electrical energy, as it is very fast to propagate, as soon as it stops "breathing electricity" it would die.
That's why it should have a system to store electrical power (into another form of potential):
- chemical batteries (fat is the chemical battery of the human body)
- store a liquid higher up or under pressure
Further reading at : Energy Storage Wiki
I am throwing you real life examples of the use of electricity in animal life, to get a better look at the implications of "living with electricity"
- Some eels use electricity to kill
- Some eels/fishes/sharks are blind and use electricity to locate themselves
and preys by emitting a magnetic field Sharks
- Some fishes/sharks/platypus can "sense conductivity" in water and thus
determine its quality and/or its composition Water Quality