This will be cosmetic. No insurance company will fix this.
It is not realistic to expect craniofacial surgery to cosmetically enhance your face. Your facial asymmetry issues are subtle and normal. Craniofacial surgery is best for faces that are so deformed that it is challenging to fit in socially. For very subtle asymmetric issues, these surgeries are just as likely to make you worse than to make you better. You have bilateral upper eyelid ptosis and there is a compensatory eyebrow elevation on the left side. I encourage you to seek several consultations with aesthetically oriented fellowship trained oculoplastic surgeons. There are many excellent surgeons in your community. The American Society for Ophthalmic Plastic and Reconstructive Surgery maintains a geographic directory on their website to help you identify a highly qualified surgeon close to home. Your Ehlers Danlos does make potential eyelid surgery more complex.