Yes, it absolutely will. I was surprised by how much. I've been tinkering with the point to insert distribution on my full metal jackets and bemans and the more weight I distribute to the point vs the insert the larger the impact it has on dynamic spine. Total weight up front stays the same, distribution between the two is all I'm changing. I think the fact that they are the HIT inserts makes the impact more dramatic but I think it would the distribution would still have an effect on any carbon set-up.
I changed from 100 grn brass insert to 50 and increased point weight from 175 to 225 and the dynamic spine changed pretty considerably - weakened the arrow.
I'd put the arrows together the way you want to shoot them based on what type and weight of broadhead you want to use. Use a heat reversible adhesive with a low temp reverse (only heat the point and not the shaft), bareshaft starting with full length and cut accordingly.
Also, as others have said, use a brass insert. The aluminums are weak and have a higher tendency to fail on bone.