Hi Gary, last year, I had noticeable PH drops in the winter, that were immediately resolved when I opened the window next to the tank (~ .4 in two hours!), and also immediately met with wifely resistance. I cut a 1" hole through the wall, exiting behind the shutter, and plumbed it into the skimmer's intakes, and that probably halved the PH drops, but didn't completely fix the problem.
I can't tell you if it caused a temp drop, because at the time I had all of the equipment (you may remember) crammed under the stand, and was running a chiller practically non-stop as a result, so I wasn't really paying attention.
Since then I've moved the equipment into the "fish room" behind the wall, and so far a chiller has not been necessary. I have the skimmer air intake run outside, but haven't been paying attention to whether or not the heaters are on more often.
I'll let you know if I see a significant difference, but my gut feeling is that at least with my skimmer, it's not going to cause a huge temp drop, especially relative to the potential benefits.