The balance is important. If you place for price 1$ for 10000 coins, it will be very washed out.
On the other side, price in 1$ for 1 token will lead to overconcentrated tokenholders. Who will be able to control the price.
For me, the rate 1$=1 token is the least viable.
I am a little skeptical. There is definitely psychological differences between paying 1$ for 10000 coins or for 1 coin. But overall the concentration of tokenholders would be the same - everyone would control the same amount of value.. It seems 1$=1 is also somewhat arbitrarily established.