Orthodontics EITHER way whether it's ortho only or ortho to prepare for maxfax surgery. However, you would have to make a choice given the direction of the ortho can differ depending on whether it's ortho alone or ortho to prepare for (maxfax/bimax) surgery.
Obviously IF your GOAL is to camouflage via implants, that would resolve to ortho only.
Thing is, ortho only, ESPECIALLY if it involved removing tooth or tooth structure to get the 'bite right', it could come with the negative trade-off of getting something about your face 'wrong' (like a more BACKWARDS push) in which case you would need to MASK something like that with implants OR it would just be a more CHALLENGING thing to correct with bimax surgery.
Your soft tissue profile line up reveals mostly the LOOK of chin recession and under chin convexity. Some masseter muscle strain looks to be there. However, both COULD be from the anterior open bite where the BACK teeth meeting first could put strain on masseter muscle and also the back teeth meeting first can kind of force a lower jaw position to go somewhat down and backwards where you can't really swing it up and out because back teeth don't allow that due to their position. Also, your under lip to chin fold angle is within the norm and does not look like it would 'suffer' much at all if made less obtuse. That is to say, I don't think a SG if included with a bimax surgery would result in an overly acute under lip to chin fold angle.
The common bimax surgical approach for anterior open bite is to remove somewhat of a wedge from the posterior maxilla so that the lower jaw can move up and out without INTERFERENCE from back teeth preventing that. It's called; 'posterior impaction'. So, ya, a BSSO could/would be in picture. But NOT BSSO 'only' deal given it's contingent on also operating on the maxilla.
My advice resolves to consulting with maxfax about SURGERY and do so BEFORE you decide on ortho only.
ETA: Salient thing here is that ortho for ortho ALONE differs from ortho in prep for a surgery. Hence, consulting with a maxfax will yield more information before you lock yourself into an ortho only choice.