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Take someone with a DSLR on their hip and someone with an iPhone in their pocket and see who can get the shots you want. Subjects don't stand still and they won't wait for you to be ready.
It's hard to know which side you're arguing for. The iPhone is likely faster, there are a plethora of apps that burst shoot, it can switch to video in a moment and it's faster to start taking photos. By the time the SLR has been set to P mode and auto iso etc e iPhone would have already shot the photos and uploaded them to the server. The wifi/cell part of the photo is not to be ignored, GPS stamped images uploaded i…
The iPhone does have an advantage in network connectivity, but it's comparatively unlikely to capture the couple of moments worth saving.