If the alcohol boost is corn sugar only, then no, because it ferments fully. In fact it ferments so fully it could give you a lower FG since the added alcohol is lighter than water. Highly fermentable adjuncts is how you produce a really low FG beer like Budweiser. Some people 'dry a beer out' with a little corn sugar, especially extract recipes where you cannot control fermentabily since you aren't mashing the grains yourself.
Now if it's not 100% fermentable (and I think that's the case...I think its corn sugar and something else) then your FG could be the same or a little higher. If you used an extra pound of DME to boost the alcohol (and body), the FG would be higher.
I've never used a booster, but someone who has will come fill in the gaps (or my mistakes) shortly