I'm having difficulty understanding what it means for an attacker to "send your email to a legitimate service"...
bank.com sends you verification email, which you expect from foo.com as part of the sign-up verification process. For some bat shit crazy reason, you ignore that the email came from bank.com and not foo.com and you type in the secret code from the email into the foo.com to complete the sign up process.
And bam! the foo.com got into your bank account.
A complete nonsense but because it works in 0.000000000000001% of the time for some crazy niche cases in the real world, let's talk about it.