Would I mind? I'd lose all respect for Apple's engineers (or whatever company's engineers brought this out). The last thing a device of this sort needs is a mechanical spinning component that consumes significant amounts of battery power, has bearings that can noisily fail, requires air ducting space to function effectively... In short, it's a Rube Goldberg kludge.
Effectively, the entire case of a mobile device functions as a heat sink. The best thing the end user can do to encourage cool running is to not use an accessory protective case, since those cases are usually poor thermal conductors. An outer case design that minimizes the need for an accessory case would not only aid cooling, but would likely improve wireless charging performance.
If the internals require additional cooling, I think a better solution would be to increase thermal conductivity between internal components and the case - heat pipes, for example. For such a passively-cooled system, it'd also be beneficial to add some bumps that elevate the back case above the desktop. If additional drop protection is desired, how about a return to the "bumper" case, like the ones given out by Apple for the "You're holding it wrong" iPhone 4?