I think that the tech log is the wrong question.
Being insured is - that's the simple test: will the insurer, informed by the registered owner, insure you as PiC. If they will, you should be fine, if they won't, you have your answer.
That said, I suspect that the OP is not actually a PPL as "my name will be on the flight plan" is basically nonsense for most recreational flying, where flight plans aren't used.
G