Will a lip lift make my downturned mouth worse? (Photo)

I am very interested in getting a lip lift, primarily to reduce philtrum length from 1.6cm to 1.2cm. In the attached photo, you can see that the pink portion of my upper lip has a steep downward slope from the cupids bow. It does not go straight across. Will a lip lift make this downward slope more pronounced? Or is there a technique to pull up the sides evenly, not just creating a steeper middle? (I dont want a corner lip lift either as I find the scarring unsightly.)