On page 289 of The Combat History of Schwere Panzerjager Abteilung 653, author Karlheinz Münch states the following; "Members of the 653rd Heavy Panzerjager Battalion did not receive the black panzer uniforms until after being re-equipped with the "Jadgtiger" tank destroyer."
There are photos of men in black panzer uniforms posing with 653 Ferdinands, such as on page 258 taken at the Nikopol bridgehead, but in this instance they are members of the attached Sturmpanzer Abteilung 216, not 653rd crew members. Can one find other photos of men in black panzer uniforms on 653rd Ferdinands? Yes. Are they standard issue for 653rd crew members? Not according to Munch.