Boycotts are fickle things, sometimes gathering a following big enough to make a corporation cave, but many other times, not getting any steam at all.
And even if a boycott is successful against one company, it doesn’t mean they won’t try the same thing again, or try their usual ‘do something extreme, then walk it back to where you originally wanted it’ two-step, which is generally very effective at getting what they want. They know how to manipulate the public to their desires, they have whole divisions dedicated to that (though sometimes even they get caught unawares). If we went this route, the issue is that this tactic is done frequently enough that people would likely get boycott fatigue. “Ugh, another campaign? Another publisher screwing us? I just can’t anymore.”
At least against corporations, actual consumer protection law is a much more reliable long-term solution to an enemy that will try every tactic to avoid real, effective change in favor of the consumer.