The balance of the stabilator is relative to where the hinge point is.
Note that 2/3's to 3/4's of the tip is
aft of where the hinge point is.
That is going to add most of the tip weight to the aft portion of the stabilator and change the static balance.
I don't know how much these tip fairings weight so I don't know if the change in balance is an issue or not.
One consolation is that the stabilator is actually over balanced slightly with the standard balance weight supplied in the kit. If you disconnect the cables it will swing trailing edge up.
The reason it seems balanced with the cables connected is that the control column has mass and the hinge point of the control column is at the rear. So with the airplane at rest, the mass of the control column and sticks is attempting to swing forward, while the extra mass of the stabilator balance weight counters it trying to swing the sticks aft. The result is a closed loop system that as a whole is balanced.
The common opinion is that the balance of the movable control surface on its own is the primary concern. So, on RV-12's with stabilator tips installed, if the stab is balanced or still slightly nose heavy with the cables disconnected, it is probably still ok.
Disclaimer - The standard design of the RV-12 was flutter tested to prove a good margin of safety beyond VNE. Any modification (including adding stabilator tips) could have negatively altered the airplane so keep in mind that my statement above is just a personal opinion and until the flight test was repeated to prove it, the opinion is worth what you paid for it.
Anyone making modifications to the flight control system on an RV-12 must realize they are truly experimenting.
I personally would not casually add parts to a flight control system component without careful consideration of all the ways it might have an influence and at the very least confirming that it has not become negatively balanced.
Side comment - Even if changing the balance with the addition of stab tip fairings doesn't adversely effect the flutter margin, it could still change the pitch control feel slightly because you have altered the relationship of the control surface inertia vs the opposing force of the antiservo tab. Probably not enough to effect it in a negative way, but very possibly enough to notice a difference.