Two way playing just isn’t in NFL culture. IMO most players are talented enough play two ways and most players are smart enough to learn two positions.
When it comes to tens of millions of dollars, limiting exposure is an easy call for both player and organization.
NFL coaches tend to be control freaks. They want the players they are going to be relying on involved in every meeting, every practice. They can't stand the thought that a guy can be good without being exposed to their wisdom 60 hours a week.
They are also tremendously resistant to change. They do things the way they do them because that is how they have "always" been done and that is how "everybody" does them.
Think about how resistant they have been to things like the highly mobile QBs who have always been a part of the college game but are finally getting some NFL offenses adjusted for them. Think about how long it took them to accept flexing a TE or having a TE run deep routes. There have always been guys who could have done it but nobody did it seriously until Shanny turned Sharpe loose, now it's the normal.
There have been guys who could have been impactful on both sides of the ball. Prime as a great example. If you can be an all-star in two different sports you can play two sides of the ball and contribute.
Champ Bailey wanted to and could have had a big impact. He had the ball skills to be a receiver, understood offensive concepts, and was a gifted athlete.
As I mentioned before with the physical demands of the NFL I see no way that Travis plays significant time on both sides of the ball. If he gets with the right coach I could see him playing mostly on one side with special packages on the other utilizing his talents at the times when they could make the most impact.
We have seen limited use by coaches of big athletes in goal line packages. Bring in your athletic DT as a fullback or use an interior OL to stop up the middle as a NG in short yardage.
It's much more on the coaches being willing to do it than the athletes ability to do it. Travis has shown he can learn the entire offense and defense (and be an outstanding student academically as well.) Can coaches handle doing something they haven't done or seen before?