Yes, LVP in force just means that the ground segment is now switched into CAT II/III mode, which means that protected areas are kept clear, the standby power generator is running and they can switch within the prescribed time to the standby transmitter and whatever other preparations they have to make.
It is not a requirement to use CAT II minima, but you can do so if you want to. Whereas if LVP weren't in use you couldn't use them really, as you cannot be sure that everything is up to CAT II standards on the ground.
You can of course hop over to the ATC Forum and ask them about it, but guess it won't differ much.