This dude on realself has a similar issue in profile
https://www.realself.com/question/jaw-surgery-lipo-pictures
As you can see, it's confusing, because each Dr. gives a different answer lol
Some say 'lipo is the answer' - Some say 'chin implant will fix it!''. Some say ''there's a lack of support - you need jaw surgery. Lipo would only work if it was just fat''. Others say genioplasty.
Perhaps showing one of the truly ugly/#instant UNTAG on facebook!! pics can help highlight the issue
https://imgur.com/a/ZMmmx
I can tell you from first hand experience that the skin will tighten from a genioplasty bc the soft tissue is moving. This doesn't really happen from the aspect of a chin implant. However, although this is true, each persons case is going to be different, obviously with respect to what's being done with the chin. (How much movement and which direction). My chin was moved 10 mm forward and 6 lengthened. So, I saw some benefit in regards to the double chin issues..etc.
With that being said. Kavan is right with regards to other people's photos. Anatomy is always going to be different, as well as other aspects related.
Question. Let's say you're lying in bed reading a book and your chin is as close to your chest as it's gonna be. When you point a mirror, or take a selfie...what's the result? What's that look like? Looking at your chin from the different views provided, I feel I had a much worse double chin issues than you, but then again, situation much different. If they did the genioplasty, you might not need lipo, but...then again.....haha...I don't know very much about lipo cause I never asked or went down that road. They can do some pretty neat stuff with the chin, especially if the surgeon does a lot of them and is highly skilled; ie: he's manipulated a lot of chins and is good at doing it. You could always go back and do lipo later if you're not happy with the results from genio alone. Forgive me if I retouched on anything, I didn't read entire thread.