Would it be worth spending far more than your gaming division makes in a many years to buy a company who's value mostly comes from them being a multiplatform publisher?
Short term - no. Long term? Yes. The problem with peoples analysis of how this wouldn't be a good thing, is that you're not looking long term.
Of course, financially it sounds too expensive, you believe Microsoft would want to recoup their investment right away. EA primarily makes their money by being a major 3rd party publusher. And, you're right. Short term, it doesn't make a lot of sense.
Long term however, the idea would be hard for some to get used to, hence why I mentioned to put the gaming community on notice - let them know it IS happening. But the appeal of Microsoft having a stable of top tier developers and IP's at their fingertips with more on the way would definitely garner a lot of interests and sales in hardware, software and services under the Microsoft umbrella. The only real gamers who wouldn't want this to happen are PlayStation fanboys as this would strike a mighty blow against Sony and Nintendo. I'm not saying either company would go under but, it would make both of them niche products for gamers. In truth, Nintendo is striving this way. Sony woukd have to adjust to the new market.
I woukd welcome something like this because its a perfect fit! EA games finding a permenant home on the Xbox console. Both software companies, both American. PC is also another large bit of real estate where you can add another revenue stream by making most of those Play Anywhere. Especially sports.
It would instantly fix the "no-exclusive" mantra and make the Xbox essentially the defacto console to own. MP heavy hitters, SP, RPG, Sports, not to mention all ready established Tent pole Xbox franchises, best services, most powerful hardware, best online synonomous a plethora of mega franchises under one roof.
Again, short term, no. Long term, yes. Hell yes it would be worth it. They'd make their money back through many avenues. That's my opinion.