Not all surgeons are comfortable with decompression for purely cosmetic reasons. Eyelid surgery would improve your appearance, but I suspect decompression would have a better chance of restoring your appearance to the way you looked before TED.Obviously making that decision requires an examination. orbital imaging, and reviewing your old photos.Current techniques of orbital decompression are far safer than in the past, but there are still uncommon but significant risks including double vision and very rarely loss of vision. But the risk varies depending on your orbital disease and the experience and skill of your surgeon. Definitely you need to find someone who is comfortable with orbital decompression and performs it regularly.
Orbital decompression is generally the first step in rehabilitation the orbit, not eyelid surgery. Yes there is a small risk of double vision after orbital decompression but it can be managed should it occur and the ultimate result of orbital rehabilitation is well worth it. If you have seen him and he does not recommend surgery, consider getting a second opinion at the Mayo Clinic in Rochester. If you are willing to travel, Robert Goldberg at UCLA or Michael Kazim in New York are very experiences clinicians offering this type of care.