Lots of changes since 5.07 & it may pay you to go read all the release notes from 5.07 on.I only spent about 5 hours with 13.02 yesterday. Had to downgrade and load all my old presets since I have a performance soon. I thought fw13 sounded more raw and a lot less produced then fw5.07. It's almost like all the imperfections of a tube amp were also there (undistinguishable from a real amp). In fw5 it's like an amp in an ideal setting.
You may be able to get closer to ideal amps by checking out the "Modelling Mode" parameter - Amp (block) - Axe-Fx II Wiki