UPDATE
Well I suspect that most that have built an Dedicated Home Theater Room or just a TV viewing room have not experienced my issue of having a room cooler in the Winter AND hotter in the Summer ,than rest of your home.
All of us agree I suspect, that just having rope lighting, sconces, A/V receivers, DVRs, external hard drives, and let alone just people in that room really heats it up in warm weather. I have had to add fans in equipment closets, under DVRs and A/V receivers in the past just to solve equipment failures.
After all my modifications over the years with this home theater I seem to have found what I did wrong in building it! I had the builder insulate the one interior wall for sound control. I have just added another fan at the rear (total of 3) blowing from my Home Office. For the first time my Home Theater Room now "breathes "and has become more of part of the rest of the home, temperature wise.
Not a noise issue for us or the rest of the family visiting over the Holidays, and they are running on high 24/7. Guess if it was they could be turned on low or even off movie watching.
So come this summer you might want to check back in for another update, but I suspect installing these fans will make a noticeable improvement with my issues, then too. Much easier and lower cost than installing a zone heating/cooling modification, but that could be my last and only resolve. Hopefully that will not be required.