I think you’re really blowing this out of proportion as if this is the scary “permanent record” teachers used to warn you about in elementary school.

Explaining that they needed you to relocate and you weren’t willing is a satisfactoy answer. Additionally there’s no requirement that you put Amazon on your resume if it did come down to that. Frankly I don’t think the new employer would really care what happened between you and some other corporation if you seem competent and they aren’t going to check every reference on every single person that applies to a corporation with 100k+ employees to stop you from getting an interview first.