Don't overthink this situation, yours is nothing out of the ordinary.
The CEO saw your vehicle without a driver in the vicinity. This gave them cause to observe the vehicle which they did for 2 minutes after which, with no sign of the driver, they had reason to believe that a parking contravention had occurred, hence the PCN.
You now have the opportunity to tell the authority what the CEO could not observe i.e. that you were parked in the vicinity of a GP surgery at which your ** year-old daughter had a verifiable appointment for a flu jab at 8.50, the same time as the contravention.
Please fill in the ** so we can see how finalise your reps.