Why would you say there's not a huge difference in where my life would end up? I'm pretty sure American crushes Northeastern, ranking-wise and probably has better employment opportunities.
Because to get benefit of that advantage, you really have to be top 5-10% of your class at both schools. This advantage only reflects people who get jobs through OCI, and right now, that's pretty damn few at any school below T14.
Most likely, you're going to get your job for old school recruitment, spamming out applications, doing follow up calls, making sure to network at bar association events etc. And in that scenario, it just becomes infinitely more important what person you are, how good your communication skills etc are, rather than the name on top of your resume.
Yes, American is the best school ranking-wise, and I don't think anyone is negating that.