I'd free float that barrel.
Fore end pressure points on sporter barrels has been a long-time factory quick-fix for poor receiver fit to the stock. It contradicts the old saying that hunters should not rest their rifle barrel against something when afield shooting at game; it changes point of impact relative to where it's aimed.
You could probably shim your receiver's fit to the stock to make it tighter after free floating the barrel. Folks did this with match rifles before epoxy bedding came about.
Do whatever makes you feel the best. You'll shoot better feeling good rather than uncomfortable about your stuff.
US Navy Distinguished Marksman Badge 153
Former US Navy & Palma Rifle Team Member
NRA High Power Master & Long Range High Master
NRA Smallbore Prone Master