Temperature is another kettle of fish as you have demonstrated.
Here is how they actually work: 9 bar of pressure are generated between the pump and a flow constrictor which is placed before the boiler, pumping cold water into the boiler. This cold water then displaces the water in the boiler, which then gets pushed to the espresso.
Thus, the final pressure depends on the compressibility of the steam (or airspace) in the boiler. In practice, you get about half a bar less at the espresso than the pump got behind the boiler. But, the real numbers depends on lots of factors, many of which are invisible.
I've built a couple cocktail mixer machines for personal usage in the past and always wanted to build an espresso machine. My main fear was dealing with almost boiling water and pressure, that kinda scared me a bit. Do you have any tips, links or just fun stories about developing machines like that that you could share? :D
Does your rig make good tasting espresso!