Susan [Bradley] and PA Bear, thanks very much for your help in this thread.
My issues (Win 7 x64 SP1) were down to issues with the DNS and name resolution to being able to run Windows Update, and were unrelated to any of the other issues people are having with either the original KB or the newly revised KB bricking their systems. The fact that my system was having issues after doing what MS strongly recommended i.e. uninstall the original KB, has nothing to do with the uninstall process wrecking anything in Windows Update. Though, it certainly looked that way to me. However, it was an unrelated issue and one I would not have guessed at in a million years...
You're welcome & thanks for your feedback.