Timed exclusive or not, here's the problem.
The history of tomb raider is based in the playstation and pc market, this is where the vast majority of its fanbase lies.
The franchise is simply not a big enough hitter to sell the xbox, it's no grand theft auto or call of duty
So the game will come out first on the xbox platforms, mostly sell badly because xbone is struggling and then finally come to playstation and pc, at which point the game will be treated with disdain from a community who will simply see it as M$ left overs.
So any hype the game has when it arrives on xbox will all have disappeared by the time it hits other formats, resulting in a loss of sales which would have been higher if the game had come out on everything at the same time.
The end result is the game sells less than the prequel. SE deem it a failure and pull the plug on the franchise and we don't see another tomb raider game for at least 5 more years until someone decides to commission another reboot.
Too much damage has been done by reckless, greedy idiots with no respect for the franchise or it's fans.
So everyone, do yourself a favor, crack open some old tomb raiders and forget about the future, because their isn't one for TR anymore.