That kind of thinking might be fine if market share is pretty even. But when you're going exclusive to a console that looks like it could have only half the install base of the console that has traditionally seen the best sales for the IP then it takes some pretty fuzzy maths to show that exclusivity is likely to be more profitable with more sales. And it's exactly the reason this is a timed exclusive, not even MS is willing to stump up the cash to make permanent exclusivity the financially best outcome. I think it's probably true that the monetary support from the timed exclusivity will more than make up for the lost sales from PS fans who will feel betrayed and will rage quit TR. What companies can rely on is that gamers over all don't hold grudges about timed exclusivity deals.
Isn't it also the case that Sony makes publishers sweeten the pot for late ports to PS? And that will actually help the eventual PS sales.

They cant possibly be serious with this... Yeah sure, Tomb Raider will have much more sales being exclusive rather than being available on all the consoles... sureeeeeeeee. This wouldn't even make sense if it was exclusive to the PS4, no matter what if the game is exclusive it is missing out on potential sales.

On the other hand depending on how much MS decided to pay for the exclusivity (which I assume was a lot) they could easily be profitable from this unless the game completely bombs on the One.

And another thing, now that people have been given a sliver of hope that it is infact TIMED exclusivity even less people are going to buy the console if Tomb Raider was their main push to do so

MS will advertise it as an exclusive. That will push sales. 

They don't really need Tomb Raider pushing consoles in Holiday 2015, that's Halo 5's job.

I already own a PS4...why would I EVER consider buying the Xbox One?  NONE of the exclusives announced for the console appeal to me in the slightest...and they are very few in number in any case.  No, I think you are wrong this time...When 90+% of all games this gen are going to be multiplatform and with Sony having (by FAR) the largest number of exclusive games, there really isn't a reason for people to buy the XB1...unless they REALLY REALLY like Halo.

That was one of the worst math examples I have seen in a while.

Yeah, and no doubt they all have the same pedigree as well.

Not meant to slight you anything, don't get me wrong. I just don't view those (17) the same as Sony's (17) overall. 

Many might disagree and that is fine, but history overall for all of these studios are not equal.

Yeah but what is helping Destiny is that PS4 turned out to be way more popular than One

Let's say the correct displacement is X1 only 4M, Ps4 only 9M, both 1M (it's probably a lot less). And by Holiday 2015 I would say 12-27-3M. So they would have lost 27/42=62% so what are the chances of they selling 5M copies of TR on a 15M install base that isn't biased in favour of them, zill.