So the question is, for a comparable weight and size as this solution, how difficult would it be to build a solar powered Stirling engine and what would the power output be? I expect the Stirling engine to easily come out on top.
https://www.stirlingengine.com/why-not-popular/
I've heard that the manufacturing tolerances are tough.
One problem is that people systematically publish optimistic cost estimates for new technologies and that these don't get updated. I still see papers that cut-and-paste cost estimates for various technologies from 1970s papers and don't even bother to adjust for inflation.
You can certainly couple a Stirling engine to a parabolic dish
https://en.wikipedia.org/wiki/Solar-powered_Stirling_engine
but it just isn't cost effective with PV when you consider the cost of the engine, the cost of the dish, etc. And think of all the moving parts to maintain! A big solar thermal plant looks ready to shut down
https://www.greenprophet.com/2025/02/ivanpah-fails-value/
not just because the capital costs were high but because the operating costs are high. It's hard for anything to compete with PV because the operating costs are low (you clean them once in a while) and the capital cost keeps dropping because it is so fiercely competitive -- something that happens rarely (hydrofracking for hydrocarbons was another example)
Manufacturing tolerances are only relevant if you want to maximize efficiency for competition at commercial scale power production, which is not this case.