It gets treated as a rapid reclaim before then. Not quite what you said.
Same difference, rapid reclaim just means you go back to the stage of the claim you was at previously, i.e
5 months on JSA, find a job for 2 days, after that go to the JCP and make a "Rapid-Reclaim", this would then put you at the same 5mth JSA claim period.
After that 13 week period (as far as I have been told from the Personal Advisors etc.) if you go back and re-sign on, you would be treated as a fresh claim.
I get conflicted stories all the time from different people at different JCPs let alone at the place I work...