That's right and normal, especially for a flat base bullet. The chamber starts the heel of the bullet in, but the bullet will tip over easily until it is constrained by the die. Using a VLD type chamfering tool can help because of its steeper angle, but I usually just keep the bullet and neck pinched between my thumb and index finger until the tip of the bullet is inside the mouth of the seater die so that keeps the tip from falling over further.
Jmorris posted a Lee expander from a larger caliber. Since the rods are all the same size at the top, the bigger calibers have more expansion. Below is a drawing of my Lee .223 expander so you can see what that particular one looks like compared to your own.