Maybe... maybe not.
With template frameworks it is a bit of a hit or miss game.
And if things are compatible with 1 version of the template framework, it might not be after a new release.
Template frameworks generally override large parts of how Joomla deals with template styles and how to assign them.
So that often means that whatever Advanced Template Manager is trying to control, is ignored or overridden by the template framework.
So short answer: try it out.
If it doesn't work with the free version, then it won't with the pro version either.