IMO I don't see Thibodeaux being a good fit for Lovie's 4-3 defense. Thibodeaux is more effective standing up as a 5 or 7 technique OLB in a 3 - 4 defense than he is with his hand in the dirt 4-3 DE.
My thoughts are Edges are edge whether 3-4 or 4-3 because of the amount of time spent in so-called Nickle defense in the pros. Most games teams spend at least 60% on some form of nickle/dime package and often up 80%.