I call only speak for myself, ergo, this is my opinion on what is a very trivial matter in the end. I have a PS4 and I have no problem with a game being an exclusive on either console. Sunset Overdrive is an X1 exclusive, fine. If I want to play that game, I'll buy an Xbox. That game was defined as an exclusive from the beginning.
The thing that bothers me with TR is that it was first announced as a multiplatform title. Now, if I want to play the game I have no other choice but to buy an Xbox (considering it really is an absolute exclusive and not a timed one). Basically, Microsoft is aggressively trying to force me to buy their console if I want to play a game that was once announced as being multiplatform and that they bought. Its tactics, but cheap tactics.
I had a PS3 and a 360. I could not care less about brands. I could have bought an X1 for Sunset Overdrive, but, I wont because I dont like the strategy Microsoft is using. What was done by them with FFXIII going multi was clever and it didnt lock down things, it opened the game.
This, is the other way around, it is a coercive measure.
So in a nutshell, if TR was announced from the start as an exclusive, I wouldnt object, but seeing as it was first a multiplatform game, it bothers me. In the end I don't even think it helps them.
BUT, ultimately, I think that this is a timed exclusive