it's a lot like the difference between a manually shifted sports car with 3 pedals and a modern Porsche with paddles.
You do miss the old school "involvement" but the paddles reduce workload so you don't have to worry about matching revs etc.
Is it faster ? maybe a little bit.
I have DI2 11 on my e-bike and DI2-10 on a travel bike and zero problems with either ! never had a battery go dead or anything at all.
and the front shifting is excellent - better than mechanical.
/markp