Hi Jim,
Unfortunately you're either VERY wrong, or misguiding this discussion.
Here are the facts:
1) iOS 6 devices lose their WiFi connection when not connected to power, on sleep. (There are exceptions to this situation, like when the device is actually transferring data when it goes to sleep etc., but these are exceptions. I will list a few below...)
2) Upon rebooting fresh, my iPhone 5 (with iOS 6.0.1) seems NOT to lose Wifi for a while (5-10 minutes, depending/changing on whatever unknown reason), but after that period, it gets to some "DEEP" sleep (I'm making this up) and totally losing connection.
3) I've tested this on TP-Link, Apple Airport, Cisco Aironet and Aruba access-points, both on 2.4 and 5Ghz (as it IS my job, I'm a Network Engineer with an Advanced Wireless Networking Specialization) so I can clearly say this should be considered a BUG, not an incompability. Even if we can lie to ourselves that it's just a compatibility issue, it definitely is not on the AP/Router side.
4) With respect to the tests performed, I've used:
- an iPhone 5 with iOS 6.0.1
- an iPad Mini Wifi with iOS 6.0 (and later 6.0.1)
- an iPad 2 Wifi with iOS 5.1.1
- an iPad 2 3G with iOS 5.1.1
- an iPhone 4S with iOS 5.1.1
- an iPhone 4S with iOS 6.0.1
All devices with iOS 6.x exhibited the same behaviour (losing WiFi immediately or after a non-defined period), while all devices with iOS 5.1.1 preserved their connection, when tested simultaneously.
Tests were done with freshly restored devices, with the exceptional addition of Whatsapp, Viber, Facebook and Twitter. Also, an Exchange 2010 email account was setup on each device. Also, ping tests were done, simultaneously for all devices. During the tests, all devices with 3G/LTE radios had their cellular data turned off.
But, as always, this seems to have exceptions:
1) iOS native apps (like mail) and services (like twitter and facebook notifications) seem to work, even though ping starts to fail, on devices with iOS 6. (this seems to be interesting)
2) 3rd party apps lose connection after the before-mentioned "period", when the device also loses ping connectivity (and wireless de-auth is observed on Enterprise APs).
So, stop being persistent... Even though it SHOULD work as you suggested, it's not. And, no matter how you change your network device, the problem persists. THIS IS SOMETHING APPLE NEEDS TO SOLVE, not network device vendors or users themselves.
Emre