Hope so, but I had more soft tissue than you and I got a significant increase. However I already had quite a lot of fold prior to the implant
My ceph (featuring my super short ramus) -
You can see the implant there on the bottom of the chin. I think I actually had more soft tissue than you at the chin point.
But anyway, I think a chin wing will give you a great result! You've got a nice flat occlusional plane and your lips are well lined up