That really depends on your definition of complexity. After all, EV charging points have far fewer moving parts than a gas pump, yet we know how reliable they are.
Pay attention to how often a single pump is out of service at a gas station. It's quite frequent. You just don't care because there are other pumps you can use.
OTOH, most non Tesla charging stations are a single charger with multiple heads. Redundancy is a big reason for the perceived reliability of gas stations and Tesla superchargers.