I took the liberty in itemizing your previous post.
1.) This is not really correct. You are always trying to achieve an airto fuel ratio which differs by fuel type. Because of this as air gets less dense, the less fuel you need. There are a couple exceptions to the flow thing, but the validity of your statement really depends on where you got the information (it's a pretty complex topic at the level, and I would not expect many people have this on hand as general knowledge).
2.)As air moves from cold to hot, it becomes less dense, and vice versa. You are 100% correct.