If you want to stay with the UK CAA, then yes, the LASORS will apply. And you will have to find a JAA TRE for the LPC (an OPC will not do!) on a JAR approved flight sim.
However, the UK CAA has and will approve not previously JAR sims for you, sometimes as a one-off.
The LPC can be done anywhere in the world, the sim can be approved by any JAR CAA, even a non-European JAA CAA, using any JAR TRE.