Do you think LP needs break-in to sound its best?

Depends. A very few new LPs have surface noise that is the result of poor flow or fill in the stamper, or poor quality non-virgin vinyl to begin with, and nothing will help. An example of this was Peter Gabriel II on Classic where the outer lead in and first few minutes of "On The Air" are ridden with crackles and pops and, after several deep cleanings and plays, the noise doesn't change. I too clean before each first play of a new record, and if the pressing is a quiet one to begin with, subsequent plays usually reveal even more depth and detail. But not always...as I said, it depends.

Never experienced LPs sounding better after a few plays. But what do I know- I have been buying LPs for 4 decades

Having knowledge of industry vinyl record production years ago, most producers did clean the mold release compound as a separate step. Those that did not suffered a significant increase in returns, which were very costly.

I buy from my local Church Holy Water for my Record Cleaning Machine. the records sound definitely different after using it.

To greatly improve the sound quality of your new vinyl records, go outside into your driveway on a warm sunny day with your new records, thusly remove from the sleeves and place the records on the hood of your car for exactly forty three minutes, no more, no less. The warmth of the sun will slightly widen and deepen the grooves resulting in the stylus sinking deeper and tighter into the groove producing far superior music playback. Wagner will never sound better!