The Gov profile will be much lighter and not reduce accuracy, the barrels are made by the same company so the quality of the bore should be the same. Barrels heating up may be noticable while firing from a bench with a scope but moving around and shooting off hand will be the accuracy variable much more than the barrel heating up.
Use a full float hand guard you you have the option.
hi perf barrels and bolts
The Nextgen of 308 rifles