The Jepps win the day on the basis of coverage. Aerad is pretty pitiful outside the UK. Don't expect to find a plate if an airliner - particularly a BA one - never flew there.
Jepps also win the day on the grounds of familiarity. Once you are used to them, a factor which applies to any chart system, you can get them for any place on the planet you intend to fly, and you will immediately feel comfortable.
A classic example is a flying holiday in the US. The Aerad user has the choice of NOS or Jepp charts, both of which will be highly unfamiliar. The Jepp user simply goes for.... ermmm... Jepps. And they look just the same in the US as they do everywhere else.