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https://imgcdn.stablediffusionweb.com/2024/10/4/37eeae4f-67e1-4464-82e2-17515bde85aa.jpg
Gold armor is unrealistic and I think never was manufactured even for ceremonial purposes even by most wealthy bigshots.
First, it weights 2.4x more than iron. So full suit would weigh like 75kg instead of 30kg. Second, it has like 0.3 tensile strength and 0.6 mohs hardness of that of the unalloyed iron. So as durable as frozen butter and would dent of every accidental poke and deformed by own weight. So we would make it even thicker and even heavier.
All other things being equal, which provides better protection? A material which is twice as dense but half as thick, or a material which is half as dense but twice as thick?
In practice, it would depend on application because e.g. tensile strength is more important for stopping projectiles than density, which would be more important when stopping short waved gamma radiation. While thickness is important for longer waves like UV radiation.
Also, in case of physical impact I don't think you can find two materials with same stress-strain curve even if one point of tensile strength on that curve is same. So these will react different to impact of same force - e.g. one more brittle material (a36 steel) can be permanently bent while other ductile one with much lesser density (2014-t6 aluminium) stays same, though both have similar ultimate tensile strength.
Overall, for ballistics more thick less dense armor is not bad as it is more likely to dissipate more energy via reversible deformations. While opposite would have less bulk giving slimmer profile and better agility.
Unless the ceremonial guards are ripped hulks who enjoy weight challenges, it would be more practical to dip the armor (or armor parts) into molten gold so they don't embarrass themselves and master.