Inspection of pilot log book is not on the SAFA checklist.
But there are other inspections apart from SAFA. Here in Germany I have been asked once by an inspector ("Beauftragter für Luftaufsicht") to show him my logbook together with my license and the aircraft documents - he told me it was about the 90-day-rule. I had to get it from my car which was OK for him. But I will certainly not do this FCL.055-"sign every page" nonsense, I rather quit flying.