Since the days of TouchWiz, Samsung has always had a sort of nature aesthetic to their phones, and still clings to this with their famous Over the Horizon ringtone. It's one of those little nuances that sold Samsung phones to me over the years since nature and skeuomorphism were my two favorites. Forest is probably just another remnant of the TouchWiz Nature UX era, like Over the Horizon. It means nothing so don't worry about it.
Many apps have weird names as part of their APK entry, which displays similary in apps manager. If you want to see weird, Facebook's full name has 'Katana' in it, even though the app has nothing to do with swords.
The only time I worry about an app is when the entry has some instance of 'cheetah' in it. Such as 'com.cheetah.batterydoctor.apk' Cheetah Mobile is infamous for being malware and gathering data they have no right to access.