Re: Baking and verification method
Not sure about how it impacts Mozilla Backpack,
It's my understanding that neither of the two verification methods (hosted and signed) require an image or place special restrictions over image usage. In other worsd, an assertion can be embedded (baked) into an image regardless of it's verification method.
Re: Verification
Again, sorry I can't speak to Mozilla Backpack specifically, but in general, verification is a feature of all valid badge assertions, and can/should be done any time any stakeholder (i.e. earner, issuer, consumer) wants to use the badge.