Do you mean the more addresses the chips are, the more anonymous they are?
It is best to compare it with other mixing services.
If you mix with common mixer - you deposit 1 BTC at one address and receive sum of 1 BTC at two-three addresses around 24 hours later. Those transactions may be matched and solved like sudoku puzzle.
If you mix with Coin Join - you deposit 1 BTC and nine other people deposit 1 BTC. Then all of you receive 1 BTC with same transaction and your identity is "you are one of the ten" (which is why you do many rounds of mixing).
If you mix with us - you deposit 1 BTC and receive 1000 mBTC worth of chips created up to month before your deposit. You pick chip sizes to withdraw, you pick when to spend them and at what combination - which mean that every existing chip (both before and after your deposit) increases your privacy.