Does the gold fringed flag in courts represent federal maritime admiralty jurisdiction?

The gold fringe is merely decorative. The assertion of admiralty jurisdiction came from an episode of King of the Hill. You should not rely on Dale Gribble for legal advice.

The following is from the website USFlag.org:

The quote below concerning gold fringe on the Flag is from the book "So Proudly We Hail, The History of the United States Flag" Smithsonian Institute Press 1981, by Wiliam R. Furlong and Byron McCandless. "The placing of a fringe on Our Flag is optional with the person of organization, and no Act of Congress or Executive Order either prohibits the practice, according to the Institute of Hearaldry. Fringe is used on indoor flags only, as fringe on flags on outdoor flags would deteriorate rapidly. The fringe on a Flag is considered and 'honorable enrichment only', and its official use by the US Army dates from 1895.. A 1925 Attorney General's Opinion states: 'the fringe does not appear to be regarded as an integral part of the Flag, and its presence cannot be said to constitute an unauthorized addition to the design prescribed by statute. An external fringe is to be distinguished from letters, words, or emblematic designs printed or superimposed upon the body of the flag itself. Under law, such additions might be open to objection as unauthorized; but the same is not necessarily true of the fringe.'"

The gold trim is generally used on ceremonial indoor flags that are used for special services and is believed to have been first used in a military setting. It has no specific significance that I have ever run across, and its (gold trim) use is in compliance with applicable flag codes and laws.

You don't know what you are talking about. Merely decorative? Do your research before you give such an erroneous answer.