Yeah, unfortunately this sounds like today's Apple. I was beginning to think that AirPower's steep price would "at least" come with a USB-C to Lightning cable/USB-C power adapter bundle, but alas...It could even be simply USB to Lightning and ship with a 12W adapter.
7.5W for the iPhone leaves 4.5W to share between the AirPods Case and the Watch. That doesn't sound like much, but the AirPods Case only draws 2.5W according to my Mac, and Apple never promised anything in terms of charging speed for the Case or Watch.
Yes, almost all of the AirPower images online show it plugged in so it's very hard to tell what port it is. But I just looked online and here is what AppleInsider says:
"AirPower appears to be connected to its charging puck — wattage unknown — via a single Lightning cable. The pad itself is large enough to comfortably fit an iPhone X, Apple Watch and an AirPods case, but there is little room left for much else.'
So it could be lightning actually.