Principal, maybe, but SDE3 is a position you can be easily hired into with enough experience. As a promo it's a bitch, though, and absolutely not worth it. Jump ships for something level equivalent at a company with better comp and get promoted there.
I say this having stuck it out at Amazon for SDE3 before jumping ship. My only regret is that I stayed too long.
When I say I should've left sooner it's because for all the effort put into it I ended up taking a substantial pay raise and a level drop when I finally did leave five months later (and went through a much lighter weight promo process shortly after joining my new gig that I would've been able to pursue regardless). It's possible the promo put me in a better negotiating position, but given that I didn't disclose my current compensation during negotiation I can't say that with any confidence.