EESS / Battery systems Iz of cable

Question I'm embarrassed to ask, you know the old "I should know that......" kinda thing. And kick myself when its explained...

But regarding EESS / Battery systems. where the current capacity of the cable and assemblies must be equal to all loads, for example 16A MCB plus 16A inverter means 32A Iz.
Maybe im being dumb, but why? Surely if inverter is running at full whack of 16A, current cant flow in both directions?

A student asked me this week and I was a little stumped, which as a trainer is somewhat embarrassing!