EA did kill profit on purpose by spending money developing Crysis3 as well as other games for WiiU then cancelling just before release.
Don't get me wrong, most companies wouldn't do this, but this is not your run of the mill situation, EA board of directors is upset at Nintendo and want to hurt them, plain and simple. They apparently would say no to profits just to spite another company.
You are giving EA too much credit and completely glossing over the fact that there is a reason they have a damaged relationship at the moment.
None of us know what's gone on behind the scenes between Nintendo and EA. I very much doubt any company including EA would sacrifice profits just to ruin a business relationship. There is obviously a rift that has developed between the two companies but I suspect the fault is probably on both sides.
Its ludicrous to think that members of the EA board are upset at Nintendo and want to hurt their business on purpose. I very much doubt they are risk profits just to spite another company whether its Nintendo or someone else. If anything you just come across as being vindictive towards a company that is out to make money the same as all other companies and has made business decisions which they feel are the right way to go for them but ones you don't agree with.
I don't neccessarily agree with all the decisions EA makes but I certainly wouldn't come up with conspiracy theories like you Nd others on forums tend to do.