Comment by ryandrake

This solves the "dependence on Gmail" problem (which is definitely a worthy problem to solve) but not the general "dependence on a particular mail provider" problem. The next step in this walk-down-the-risk-chain is self-hosting on a VPS, where you're now just dependent on your VPS provider, and the next step could be self-hosting on your own metal, where you're now just dependent on your ISP. Happy trails!