Why would they interfere? That's only superstition.
The chance that a proof of work (aka share) mined at difficulty 1 will produce a block is 1 divided by the difficulty.
So your hashrate determines how many lottery tickets you get, and the difficulty determines how likely each lottery ticket is to win. That's all there is.
please note that as soon as a block is found all old tickets are thrown away and new are printed
Well no tickets are thrown away as soon as they don't win.
Hash = losing ticket
Next hash = losing ticket
Next hash = losing ticket
.....
1 hash or quadrillions of hashes later
.....
Next hash = winning ticket. Block solved.