Well, it does not scan the "entire computer", it scans the Program Files and ProgramData folder for instance and your registry, looking for games that you may have obtained illegally. But that's bad enough of course.
And it had been said that it may also monitor things like your in-game communication and personal information; although those two are technically collected separately, they are stored in a joint database and distributed to undefined third parties. That's, broadly speaking, the same what Facebook does, except that you have much less control about what you are giving away (well you have the choice of not participating, of course). I do not assume that they will do harm to their users. However, I feel kind of insulted by the fact that playing EA requires me to tolerate a (virtual) representative of EA lurking around in my backroom, watching me all the time. I am still used to the old-fashioned paradigm that my duties as a customer include paying the product, ant nothing else. Besides, the last time I bought stuff via a companie's own online-service, it took only weeks until the gamesites titled that their database had been hacked and all account details, including credit card, had been stolen.
But besides those rather abstract issues I have with such services:
Yeah, I am really looking forward to distribute all my posessions among a billion of different accounts all with own passwords, that may or may not stop support eventually and clutter my computer. If you excuse my sarcasm. I really envy consoles these days and tbh, I will be buying Mass Effect 3, but I am thinking about usind a pirated exe because Origins makes me want to vomit really hard.