And, EC2 does not live migrate VMs across physical hosts. I couldn’t find anything explicit from AWS on this, but it’s something that Google is happy to point out.
Is it a good idea for a production database to depend on a feature not being used when the vendor hasn't said that they don't or won't use it? They may very well live-migrate when convenient, but just don't expose that functionality to customers since they don't want customers demanding it.