Just to clarify, the LASORS entry should read "....the UK CAA will recognise up to a maximum of 10 hours of the previous training only towards the overall 45 hour requirement for licence issue" (i.e. the flight time will be credited but not any instruction received). You will still have to complete at least 25 hours dual instruction and 10 hours supervised solo at the UK registered facility.
The other thing to bear in mind is that the LASORS paragraph refers to a course of training that has been commenced in another JAA member state but cannot be completed there (perhaps because the candidate is forced to relocate), it is not intended to cover the situation that you describe in which the course is being conducted from start to finish by a UK training organisation. You would be well advised to confirm with the CAA that they will be willing to credit the time in this specific case or you could later find your licence application is rejected.