LVP is a set of rules for AIRPORTS and ATC MANAGEMENT and not for aircrafts operators.
An airport can't be certified for t/o with less than 400m if LVP can't be applied.
All aircrafts operators (even privates) have to do is to make sure that LVP are in force when needed (CAT II/III and T/O with RVR < 400m).
Rgds.