And let's face it, the real motivation for state money issuance has never been about this efficiency, but the power and wealth the elites can enjoy without doing real work.
If so, then why have they abandoned gold? I don't think the elites can somehow overrule the social laws just like we can't escape the laws of nature. The ultimate irony is that they can't enjoy power and wealth unless some part thereof is bestowed upon the rest of society...
Because their riches come from the riches of society
They abandoned gold because they had absolutely no choice. The various gold standards were designed when they had enough gold to keep the system stable. But the incentives for the elites to destabilize the system always ended up causing a run on gold by the public and foreign countries.
I'm not sure why you link gold to the motivation of the design. Perhaps I'm just blanking out...
It's true that the elites, in effect, ally with the rest of society (to different degrees for different groups) by giving them a small share of the spoils. Real economic activity does pick up as a result of money and other asset issuance.
But the key is that, by distributing the riches (esp. at the very top of the ladder) in an essentially centrally planned manner, the whole economy is distorted towards serving, directly or indirectly, the beneficiaries of the central-authority largesse. When trust in the asset values eventually crashes (which it does because of the built-in incentives for the elites to keep issuing and hiding bad news,) the bigger beneficiaries cut back spending, and the whole economy suffers. (A suffering which is not necessary -- we never needed those extra fancy restaurants and chefs in the first place if there had been no state-driven asset inflation.)
In any case, we don't need the elites to give wealth to us by asset inflation -- the Italian Renaissance and Scottish "free banking" era saw spectacular growth without this inflation.