@Yurinka for Sony it's not just about having COD available on PS; Sony knows that if MS owns the IP, they will never be able to get marketing rights to COD again after the current contract expires. Not saying Sony are entitled to those marketing rights, just looking at this from their POV. And they also know what goes with marketing rights (because they've seen it happen with not just PS4, but the 360): exclusive cosmetics, XP bonuses, maps, guns, early beta and campaign access etc. All of which have helped massively boost COD's presence on the consoles with the marketing deals historically (360, PS4, PS5).
COD's biggest audience is in the West, particularly US & UK, the two markets where Xbox is relatively strong in even during their bad years of the XBO (for example, XBO apparently sold roughly ~ 32 million in the US; I don't think PS4 sold that many more in the US beyond that number, even if they did > 2:1 globally). It doesn't take a lot to figure that if MS get marketing rights to COD in the US & UK, and go for the jugular to throw it into Game Pass Day 1, Sony's going to figure they lose those markets, and they're two of the largest in the industry.
Even if MS offers Sony the privilege to put COD in PS+ Day 1, that does nothing for Sony for three key reasons. 1: the cost for Sony to get PS+ Day 1 rights may end up being prohibitively expensive. 2: Sony leaves a LOT of money on the table in lost direct sales revenue due to putting the game into PS+ Day 1, when they rely on the games revenue for their bottom line WAY more than Microsoft does. 3: Putting COD on PS+ Day 1 will inevitably create the expectation by many PS gamers for even MORE big 3P AAA Day 1 releases, and even 1P AAA Day 1 releases (live-service and non live-service) into PS+ Day 1, at the current sub prices. And if Sony starts going by that game, they start training their audience to not buy games Day 1, which can be catastrophic for their bottom line if they have to stop putting big AAA Day 1 games into PS+ (because they keep losing tons of money), and direct sales don't pick up again to reverse that.
Those three things are the key reasons why I don't think the deal passes with behavioral remedies. MS said what they said about COD to regulators to try appeasing them with behavioral remedies, but at least the FTC and CMA have seen beyond that and don't agree with that approach. We'll have to see where the EC lands, but I'm expecting similar pushback to that approach.