pretty doubtful, but if it makes you feel good to think that go ahead
It is very rare that teams repeat the exact same success using the exact same means in consecutive years. The element of surprise is probably one of the greatest talents/skills a team can acquire during the offseason. Generally a year of game tape allows most defenses to figure out the weaknesses of an offense or a player so despite the theory that RBs who carry the ball at high levels have a drop off solely because of wear or entropy does not take into account that after enough study time, defenses are generally prepared to stop the offense that features that back. Last season Dallas was not projected to be a strong running team, and even Jerry said the defense was going to need to offense to score a lot of points to help. This team surprised everybody...except the Green Bay playoff game where the element of surprise was hijacked by a coach without a clue.
The 2014-2015 Cowboys were supposed to be a cluster of weaknesses and patchwork on defense and a bunch of talented instruments being mismanaged by a foolish conductor on offense. That was the forecast.
After three years of blundering the running game decisions at crucial moments, even with a RB like Murray who averaged 3.6 to 4 ypc, the opponents of Dallas last year were not expecting the amount of carries that Murray had and were waiting for Jason to regress into his typical game decisions that cost them the seasons for three years prior. But, I believe, The Jones forced their coach in training to use the running plays more than in the past, especially when Murray increased his own success (the stats reveal that his yards after contact were greater than half of his yards per attempt) and garnered a lot of attention. Those who know Razorback football talk about the weekend that Jerry spent picking the brain of Bielema last summer...and how the Dallas running offense somehow resembled the Bielema offense in 2014-2015.
Adrian Peterson would be a new look for the Cowboys offense but he's not the receiver or blocker that Murray was. The offense would change in look and probably success in rushing yards. But keep in mind that while teams that succeed in one style of offense based on a certain combination of players and zeitgeist are rare to repeat the following year with the exact same form of success, teams that lose in a consistent pattern (such as not being able to close a game, keep a lead, Hail Mary, or have three seasons of 8-8), do so because they are not changing and somehow expecting different results when the game tape shows year after year, decade after decade, that this one offensive theory (ie Jason's version of the Coryell) will fail, if not redefined every season, if not every game.