The noise, or lack of noise, between cuts on an LP reveals any other source of noise other than the music, at the particular gain setting of the phono stage. Could be on the vinyl, could be the signal to noise ratio of your particular phono stage at that particular gain setting, could be due to any extraneous sources of noise in your system, like EMI and RFI. One thing I know: if I hear no inter-cut noise at my listening position, I am happy. If I hear "something", I try to think it through to determine what might be happening. Usually in those cases, I decide it’s nothing I can easily fix.
One phenomenon that could be operative in the OP's case is "bleed through". This apparently can happen with masters made from tape or right on the LP, where the upcoming groove is heard through the groove being played. I don't quite get the mechanism of the latter, but I do hear "pre-groove echo" on the odd occasion. That is musical though. I suppose it's even possible that electronic noise laid down in the studio is heard in between cuts.
One phenomenon that could be operative in the OP's case is "bleed through". This apparently can happen with masters made from tape or right on the LP, where the upcoming groove is heard through the groove being played. I don't quite get the mechanism of the latter, but I do hear "pre-groove echo" on the odd occasion. That is musical though. I suppose it's even possible that electronic noise laid down in the studio is heard in between cuts.