No, that's a caricature of EA (edit: AFAICT EA seems to be about working within the system). There are perfectly rational reasons not to break moral standards (such as not gambling with other people's money or lying about safekeeping it): the world becomes a worse and unstable place and becomes far harder to improve when everyone acts like that, when you can't trust other actors; and people will keep score of how you behave.
(In another comment I wrote what may seem to be a contradictory view, but I was considering a completely abstract gamble there, not what SBF actually did.)
EA perspective is not limited to one specific moral foundation (in this case act utilitarianism), it is a general idea that if you are going to be altruistic (for whatever reason), you should rationally focus on how to get best 'benefit to others' for your money. EA is not moral philosophy, it is altruistic strategy. For some, altruism is not even connected to morality.
So the gamble you describe is more argument against act utilitarianism than against EA.
EA is a morally bankrupt, barely coherent, stupid ideology designed to justify pre-hoc teenage technocratic fantasies. In that sense, no matter what SBF believed in his heart of hearts he's a poster child for EA all the way.
Dozens of ideologies say that. EA doesn't say only that.
On a personal level, my familial obligations supersede even local art charities and much less distant global health issues. Most EA people have enough instinctive moral behavior to avoid falling into a trap like SBF, but EA taken to its extreme clearly states that distance is not morally relevant.
I've always maintained my theory that Satoshi was CIA. Crypto is the evil kind of stuff they are good at.