If there are unsold tokens it's either they get burnt or they are shared among token holders, i prefer unsold tokens to be burnt tho. Burning unsold tokens will reduce the total supply in so doing give room to price increase.
Giving out tokens for free is not always the best option, because you will have the chance that some users are going to sell it whenever the coin gets listed at a exchange. Burning them is good for the price.
Therefore, I hope that the coin will begin to grow at once, so that investors will not get rid of them ...
I don't think that they will try to get rid of them, because 80% of the net profit is going to be shared with the token holders. Sure there will be some dumpers, but that is normal.