That would involve you doing practically every side mission, but my understanding it is possible.
You are right in not trusting EA, given their track record, but in this one specific case, I feel they are doing it right. The Microtransactions serve as accelerators, and so are unnecessary, and the Multiplayer serves singleplayer rather than vice versa.
Maybe there is enough of the old Bioware core to keep the EA evil at bay. Who knows.