The cap tester may not check for leakage.
Got a quite similar one, from what i read in the manual, it tests with 0.6Veff and runs AC tests (C,ESR, D, theta) in serial mode.
Measuring Rp in parallel could do the job if i got it right, but probably not at 6V and without knowledge of typical comparison values. So questionable if it can show "leaky" caps without other symptoms?
So there is a slight chance that just leaving the circuit powered for some time could have fixed the problem.
The CMOS input probably does not feed/draw enough current for this self healing to happen. Would need to ground the input artificially for the time.