By simply adding one line into LASORS which specifically allowed logging PICUS for a club check, the CAA could turn this particular question into a 1-line answer with no debate
The CAA is a Safety Regulator. What has this got to do with safety?
Why would they have the slightest interest in what you put in your log so long as you comnply with the Law?
Frankly, there are two many stupid rules because there are too many stupid individuals who havn't got the gumption to deceide for themselves what to do!