Instead of always digging into the styles dialog, activate the "Warn of style changes when adding (updating) scenes" option under Preferences > General. It will then pop a small dialog up asking if you want to update your style or save it as a new one (or do nothing).
It can be a (little) annoying but when toggling section planes on/off and updating your scene for instance, it can be very useful, too. Always use fully updated scenes and styles in SU when you want to work with the file in LO.
As it still seems to cause much confusion, maybe some better style control of the inserted SU file in LO would be good...