Oh God no!
I can see all the cr*ppy white computers with no memory or hard drive being bought because they look nice ... And when they don't work they will require _more_ support than the boxes we currently have under our control.
It's easy to see what will happen, since we used to let employees buy their own printers ... everyone buys the cr*ppy HP wifi printers that work on some networks some of the time, and manage to overwrite the networking stack so bad that the computers don't work on corporate networks ...
Our users also believe everything that a droid from PC World/Currys tell them ...
BYOD is bad enough CYOD ... not while I have breath in my body!