If your Forrester is anything like our Lexi with the standard front entertainment center, then probably no, no insulation.
Originally the front area behind the tv set was blocked by the tv which was permanently mounted. I removed the tv set and found a nice open space with no insulation.
Bought a sheet of insulation board at Lowes, cut it to fit the space against the front wall of the front cap.
Got a sheet of thin laun and covered the insulation. Bought a swing away type tv mount and made a bracket using the original tv mount.
Now, tv swings out so it's easier to view from our theater seats, and I have a nice storage space behind tv set. Store dvd's and wife's remote headphones behind it.
Never really took temp before or after mod's to determine if insulation helped, but I would guess it did.
Steve & Cheryl + Zoey, and Ziggy, our furry kids.
2012 Forrest River Lexington 283ts
Toad, 2013 Subaru XV Crosstrek