I think I'd rather have Bauer. Elite pitchers tend to stay elite until they break, and no MLB pitcher is more into biomechanics than Bauer. Teams have done pretty well with mega-contracts for aces over the last 10-15 years, and I think Bauer will continue that trend.
I also just plain prefer the aesthetics of a frontline starter more than a 4-5 win position player, as a fan. And Bauer the person is super likeable and engaging.