You have spotted the fatal flaw in this recency nonsense. If you take the proficiency check option it allows you to 'resume the privileges of the licence' but there is no further validity period. Once you have passed the PC and resumed the privileges, you are back to square one except that you will be able to count the flight that you did as PIC following the proficiency check towards the 24 month total.
Recency never worked for the NPPL and there's no reason to think it will work for the LAPL.