Okay, let's review. The problem with this ENTIRE PREMISE is that a game that would come to every platform is going to come to every platform. Making it come to someone else's platform later doesn't make your version more valuable, it fosters resentment and frustration in those that don't *have* that platform. It doesn't mean that the people that own your platform have gained anything, because they haven't. They are at exactly the same point as before. For your current customers, it means jack shit, unless they are petty and get a giggle out of temporarily denying other gamers the chance to play.
If a game isn't going to be made, and one of the platform holders steps in to fund it, that's totally fine! The game wasn't going to happen otherwise! If a game needs assistance/funding to get made, and has a small team that can only make one or at most two versions of a game at a time, then that's still understandable, and they need the leeway to make it at their leisure, as long as they're not being forced by shitty contracts. If a game was fully funded and developed by a standalone publisher, but they get paid to deny it from other platforms for awhile, that's fucking lame.
I should preface this: I haven't played any Tomb Raider game, ever, and I really don't care about this game, but actions like this are bullshit no matter who does it.
Microsoft locking the game away from other platforms (Not just PS4, but PC too? Fuckin' seriously?) does not win anything for people that already own their systems. It's a cheap tactic to play for the handful of gamers that might make the decision to get their system instead as a result, but it doesn't do anything for people that already own it. It's not a convincing method of building confidence in the ecosystem, because all it speaks to is tactics that feel underhanded or insulting to people.
Do I care about this game? No. Do I feel like people standing up to defend the practice are being dishonest or emotionally defensive because of the renewed backlash against Microsoft? Yes. Or if not dishonest/defensive, they're being willfully obtuse and naive, which is just as dumb. People have the right to feel like this is bullshit, and they aren't wrong for speaking out against the practice, no matter who is participating.