Stopping/starting is easier on platforms (you just hook your foot under the pedal to bring it up to the starting position before you take-off), but it's certainly not a deal breaker for either side.

The main benefit of clipless is not having your feet slip. The main benefit of platforms is wearing whatever shoes you want, and not having to bring a pair to change into. The rest is just whatever flavor of Kool-Aide you enjoy most.