1. If you use a trainer while fitting a bike, the bike has to be leveled. If it isn't you are adjusting for that imbalance.
2. Drop bars should be comfortably usable in all positions. Don't get caught up in the BF hype that things need to be slammed and flipped. If you ride on the hoods and find yourself reaching, you need a shorter stem. If you can't reach the drops per the aerobelly, raise them. I have seen a lot of people suffer on bicycles for the cooler look of an aggressive position.