Good idea
+1
If I could add to this suggestion it would be to add and up and down arrows next to the style playing in your song. That way you could change to the next or previous style while still in the chord window. The selection of styles would be determined in the styles window, i.e. rock, 4/4, swing, etc.
This is done using the option to select Next or Previous from the Styles Icon submenu.... You never leave the Main Page Chord Sheet Page and all of the Style parameters are editable.