Wouldn't it still be running and in a museum somewhere if it lived up to the claims?
You would think so, but the book still makes a good case for it having been genuine. Basically he was determined that no one would get to know the secret until he had got his money for it.
It's often said that if someone invented a free energy device then they would instantly become rich, but in reality it's not necessarily as simple as that (especially in those days). There was no Patent (intellectual property) Office then, and there would be nothing to stop anyone just coping his idea as soon as it was out and he wouldn't see any reward whatsoever.
Even these days, there would be no guarantees, patents can be circumvented by modifying and improving on a device. That's what happened to the chap who invented that windup radio, an unscrupulous company (allegedly) took his idea from him, made some improvements/changes and patented and marketed that instead of his version. Patents have to be water tight these days with every eventuality covered (by an experienced patent attorney) or someone will find a loophole and copy your basic idea. The more simple the idea (such as Orffyreus's device, which he said was so simple anyone could build it) the easier it is for rivals to pinch it. Imagine spending years on achieving the impossible (free energy) and then seeing others get rich on it instead of you!
Orffyreus apparently made numerous demonstrations of his invention with just the main workings covered over. Apart from actually showing people how it worked he complied with all their requests for demonstration of what it could do, including hauling up a weight and running for days in a sealed room. He even showed them the actual weights that powered the device, but at the end of the day none of it would convince anyone to part with the large amount of money he was asking. When he realized it wasn't going to be that easy he agreed to revel how it worked to a trusted friend and mentor (Prince Karl, of Hesse-Kassel). The prince confirmed to everyone that it was genuine and that is was a very simple device.
But still there was that basic problem that no one would part with any money until they'd seen how it worked (and then of course there would be nothing to stop them just copying it). So the situation reached stalemate. Orffyreus was taking no chances of the secret getting out and he would take his device apart completely after each demonstration, and sometimes just destroy it and then rebuild again as and when he needed to. He was still trying to get his money right up to when he died.
So the reason why there is no version of it in any museum maybe because there was no working version existing when he died and he'd taken the secret with him.
I'm not saying I necessarily believe it was genuine but it certainly made me wonder.