The limited panel light a/c vs. transport a/c situation isn't quite comparable.
Light a/c tend to use a single A.I. and a turn co-ordinator. For redundancy the TC is usually powered independently from the A.I.
Large a/c don't tend to have a T.C. Instead they are equipped with additional A.I.s. & redundant power/data sources.
In the light a/c case the standby system is the T.C. gyro, balance ball & compass to replace the roll information usually provided by the single A.I. Standby pitch information is substituted by interpreting power, IAS & climb/altitude information.
For the large a/c, failure of the primary A.I means reverting to the standby system ie another A.I.
There isn't the same type of 'limited panel' that light a/c have.
Note that a light a/c doesn't have to be fitted with a T.C. It may be fitted with additional A.I.s instead.