No they not affect any the his shffld aerials but there are marginal yet negligible differences between each palette's ECB. Environment Collision Box is an orange diamond when viewed through Melee's debug mode, around the characters model which validates stage and wall interactions. If this wasnt there then you would fall through stages and walk through walls Lol. If you want the specifics about the differences in numerical format here there are:
Quoting Magus:
The different colors have
very slightly different widths for dealing with stage collisions/interaction (hurtboxes are exactly the same). It manages to make a difference here and normal CF doesn't collide with the wall until later in the animation than the others, and when he does get adjusted by touching it it's enough to put him barely over the edge and so he falls.
This should give you an idea of how small of a difference it is and how they compare relative to one another (measured in DerpMeters):
Normal 1088
White .1096
Blue ..1097
Red ...1099
Black .1100
Green .1102
The slight difference in width of this area that normal falcon has happens to make enough of a difference here where the edge of the others' diamonds touch the wall sooner in the d-smash animation while they are moving less forward, and the pushback they get from going through the wall at that part of the attack is enough to cancel the attack by leaving the ground but not enough to fall off so they just land immediately. Normal falcon instead reaches and interacts with the wall later in the attack and is moving forward more at that point in the animation and gets more pushback because of it, and it's enough to cause him to fall off completely.
Source of info original thread:
http://smashboards.com/threads/difference-in-colors.223965/