Thanks for everyone's contributions regarding this issue.
We have two Mid 2012 MBA's in our household which were running ML. On either MBA we would use a Monoprice TB to HDMI adapter plugged into our Sony LCD to view BR movies and stream content via an extended desktop setup.
Once we upgraded to Mavericks we were no longer to do this on either MBA. Post upgrade if we plugged in this same cable arrangement into any of the 3 HMDI inputs on our TV, the TV would not even recognize anything was plugged in which to me signified the TB port was somehow asleep/off.
Like many I tried different accounts/SMC reset/etc. I did run the hibernation 0 script but this did not completely resolve my problem.
Now when I plug this setup in my TV does recognize a source! Yay! My MBA screen also "flickers" like it's trying to switch. However my TV does not detect any signal nor do I get the standard extended display background on my TV like we used to Pre-Mavericks. There are no additional displays shown under Display Settings and I have tried checking/unchecking "Displays have seperate spaces" under Mission Control settings to no avail.
I've tried different HDMI cables (though I just have the one TB to HDMI adapter), however I find it hard to believe the issue lies in anything other than our MBA's.
Thanks for your suggestions!