The CDI and ignition coils are sub-standard on the America and Speedmaster. Not one bit of money has been spent by Triumph to make them 1- cheaper or 2- more dependable. There is no replacement aftermarket. If you have a failure on the road it will more than likely be electrical.
Many also hate the rain and stop running as they are not well sealed electrical systems.
That said, they are generally very dependable bikes. They are as dependable as a Harley.
