Just FYI, but these aren't the same situations at all.
Capcom was in pretty dire financial trouble coming into current-gen and they were looking for a partner on Street Fighter V in order to get the game produced much faster than originally intended. They also needed marketing help and were also looking to partner with one of the console manufacturers for official tournaments and the like. This deal also spun off into other deals to cover things like porting Super Street Fighter 4 and Marvel vs. Capcom 3 marketing.
Sony stepped up to the plate and agreed to cover a lot of the marketing costs, promised visibility on the game from a marketing perspective (yearly tournaments would be held at PSX) and the cash injection allowed Capcom to move up the release date of the game and get it done on time and on budget. Saying Street Fighter V would have still come out is factually true, but it would have likely come out in 2017 or even 2018.
The closest comparable to this situation is in fact, not Rise of the Tomb Raider, but Dead Rising, which Capcom also sought a similar deal for because of their financial hardships and Microsoft stepped up to the plate and helped them there. Dead Rising was still planned to come out, at some point, but the cash injection from Microsoft helped Capcom move up the timeline and secure a bigger team and marketing they wouldn't have had otherwise, much like Street Fighter.
Dead Rising and Street Fighter V are two opposite sides of a coin and much better comparison points.
Rise of the Tomb Raider is a completely different situation, both what has been said publically and what happened behind closed doors, as the game was already announced to be multi-platform prior to its reveal and then Square-Enix made a money calculation that their game would be more profitable if they signed a year exclusivity deal since Microsoft offered one. The game did benefit from marketing support and Microsoft internal engine support, but from what I know of the project, it did not speed up development in a massive way except that the focus was shifted to fewer platforms. SE still had Sony builds playable along the way they'd use to sanity check and make sure nothing crazy was going on. In comparison to Street Fighter V, which as far as I know, never had multiple playable Xbox builds (I'm not even sure if it ever had a playable Xbox build period).
So as you can see, those two games are not even remotely comparable.
As for the discussion about moneyhats: I think both console makers are going to shift their moneyhat focus to indie games/smaller tier developers, as netting those big marquee exclusives takes way too much money. The marketing investment is also substantial, as a deals like Call of Duty has costed both Microsoft and Sony quite a bit of money because marketing is so expensive.