I have had this discussion in the past as well, and in short - Yes it will work, but at what cost?
I personally am a fan of mixing up my sanitizer and letting the bottles soak a bit (or at least until they are ready to be filled) You throw them in the nuke box and you are going to be dealing with alot of HOT ass glass. You would have to allow ample time to cool, and during this time they run a risk of getting bugs (as they have no liquid sanitizer on them - they are dry)
I personally think that while using the san bucket may pose as an inconvenience, burning the **** out of my fingers and then waiting for them to cool before I fill them would be more of an inconvenience.
-Me