Honda's IMA system normally uses the same motor that is used in the hybrid system to start the engine. The motor is directly coupled to the engine shaft.
When you start a hybrid car you are spinning the engine shaft directly.

Traditional cars have large gear that is part of a flywheel, a starter motor, one way bearing connected to a smaller gear that is activated by a solonoid.
(Lots of mechanical parts to activate a traditoinal starting system)

There is alot more parts to wear out under repeated use of a conventional starter versus a hybrid system.

The only other possability I can think of is engine lubrication, as all lubrication stops as the motor quits turning.
Again, I don't think this is an issue given the short "off" duration.

The hybrid also has a conventional starting system in case of IMA failure or only certain conditions and is not normally used. I don't think Auto Stop will even function if it is neccessary to use the conventional starter.

Efficient drivers do it better.
1003 miles a tank personal record. 74MPG calculated. HCH1 CVT