My thinking on this matter is a result that I own a ScanGuage2, I can see instantaneous MPG [among other things]. The PF trans is so computer controlled, it NEVER gets decent MPG until 5th gear & torq converter lock-up, which happens at ~40MPH with a light foot. So to change gear ratio, I would expect more slip in the torq conv, until speed reached. A slightly larger tire may be less expensive to try than a gear change. I still vote NO.
Things I have done to eek out slightly better mileage:
My tires are inflated to 40-45 PSI
Drive with “Cruise”. Seems the electronics are better than the extremely touchy gas pedal.
I installed a VOLO FS3. Heard a Bully Dog is much better but more expensive.
MotorKote oil additive. If it can make a carbureted Stihl chain saw idle faster, must be good.
ScanGuage2. Shows how to ease up on the throttle without a performance drop. Has a “LFT” gauge that shows differences in gasoline purchases [must put in N & allow to idle for proper reading. E0 fuel IS best—10-12% better, otherwise Exxon/Mobil has been my experience]. Shows gal per hr. Did you know that at a long light you can save 10% if thrown into N or that MPG increases dramatically if thrown into N on a downhill glide more so than taking foot off of pedal?
Slow down 5-10MPH.
The 2013 has a 3.5L with a CVT. Check out the R52 section of this forum.
E0 gas in Texas:
http://www.pure-gas.org/index.jsp?stateprov=TX