MAXFAX surgery, whether it's single or double jaw does not always come with the option of making everything aesthetically ideal.
I would ask whether or not the BSSO alone improved what (an advancement) BSSO is meant to improve; correction of LOWER JAW recession. I would assume the BSSO improved your lower jaw. If my assumption is wrong and the BSSO did not improve lower jaw recession, please show the before photo.
The aesthetic issue/complaint here resolves to seeing something on your face that was ALWAYS THERE that the surgery was not planned to change (or to make worse). I mean I'm hard pressed to critique the outcome of a single jaw surgery (BSSO) that can be assumed to have corrected/improved a recessive lower jaw BUT to critique on grounds that it it didn't change the upper jaw when there is QUESTION whether or not you would have liked the outcome IF the upper jaw were also advanced.
You've gotta realize that you are saying (or rather what I'm hearing from what you say) is that the aesthetic issue with the outcome of the surgery is that DID NOT IMPROVE the part where NO surgery was done. To further 'translate' what you are saying and want me to critique is something like this: 'I had a lower jaw surgery that IMPROVED/CORRECTED my lower jaw recession and now, I don't like the part that was ALWAYS THERE which the lower jaw surgery did NOT CHANGE.'
What we need to agree on here is the obvious: A surgery aimed at improving ONE PART doesn't doesn't always make the WHOLE 'ideal'. For a surgery to ONE part to kick up something close to 'ideal', all of the OTHER parts have to be close to ideal to begin with. So, what you are seeing (and not liking) is a common phenomenon: When something is corrected, it makes it easier to notice a part (or parts) that was/ were ALWAYS THERE; the phenomenon of seeing a 'change' in something that was NOT changed.
I agree that you don't have the 'ideal' aesthetic outcome. But I don't conflate that with; 'poor aesthetics after a BSSO' because the LOWER JAW looks to be within a good aesthetic range.
As I see it, your aesthetic issue was a non-ideal START POINT; overly obtuse NLA that would have become more obtuse with maxillary advancement. It would not have become LESS obtuse (decreased NLA). So, I think your ortho was concerned that maxillary advancement could make the overly obtuse NLA larger.
Refer to the line diagram where the NLA is 'ideal' and the whole profile becomes 'ideal' when ONLY the lower jaw recession is corrected. The thing about the 'ideal' NLA in the contour diagram is it fits into an angle and is not a curve where as yours is a curve but one they use to measure the NLA.
A better aesthetic would be one where your NLA was either DECREASED or even remained the same but fit into an angle in the process of bringing your upper jaw (and upper lip) more forward, which in turn, would have brought your front teeth more forward. So, what you are NOT seeing here which I THINK you would LIKE to see is either a DECREASED NLF with more 'poofyness' or 'pout out' to the UPPER lip for the SOFT TISSUE contour in addition to the front teeth being more forward or yours just to fit into an angle like the one in the line diagram I provided. However, NLA is usually increased with maxillary advancement. So, I can't really tell you maxillary advancement would have decreased the NLA for a 'better' aesthetic. I can tell you that your ortho opted for the maxilla not to be brought forward out of concern that the large NLA would have been increased.
So, ya, I can see that the optimal or 'ideal' aesthetic is not there with the outcome. But I think you need to see that you didn't start with an ideal NLA for that to happen. You started with a 'too large'that could stand to INCREASE with upper jaw (and base of nose advancement). It would not have stood to decrease to be within the ideal.
All I can do here is explain the judgement call they made and the most likely reason they elected NOT to advance the upper jaw. I can't really 'critique' them on the grounds that they elected NOT to INCREASE your NLA in a circumstance where a decrease to it would not have occurred with maxillary advancement.
That said, who's to say whether or not you would have liked an outcome where the maxilla was also advanced. However, if you think you would like the upper lip to come more forward in soft tissue contour, along with the front teeth coming more forward (via maxillary advancement), then you would have to have some way of being sure you would like or would not mind a TRADE OFF of even a LARGER NLA that would go with that.
Note: Illustration included with this post. Also, a separate post below this where I get your CURVED contour to fit into the same angle.
Edited.