My guess is that since Demps couldn't get through two pre-season games without getting dinged up, they want him to put on some muscle. And with the offense being TE-centric, they want the option of getting Shiancoe back this year as the third TE.
“We'll do the same thing that we always do. We'll take every situation from week to week and do what we think is best for that week and evaluate it on that basis.” - Bill Belichick
Narcissistic injury is the term used for any threat to a narcissist's outsized ego or self-esteem.