However, there is also quite a bit of glossing over in the description.
The production of hydrogen from H2O via electrolysis is an energy-consuming process. If waste heat is generated that can be used, then only because the water was previously heated with your photovoltaic electricity. It would of course be more sensible to use the electricity directly or feed it into the energy grid.
The maintenance costs for such a system over 30 years would also be too risky for me, especially since hydrogen can diffuse very easily due to its small size. This is not a heating system or an electricity storage system, but a physico-chemical plant on an industrial scale. If the manufacturer declares bankruptcy in 5, 8, or 10 years, you are left with your electrolysis unit and H2 storage.
Not to mention the costs.
Gas heating with solar thermal: 15k acquisition
Gas costs / year: 800 euros x 30 years = 24k
Maintenance: 5k
Generously calculated, this comes to half the costs including all heating and hot water costs over 30 years. You really have to have a lot of idealism in your blood to consider purchasing something for 100k where the follow-up costs are not calculable. Maybe with the excess money from the environment one could also help well in other ways.
I know the gas price will also rise in the next 30 years, but I am sure that the gas heating system has a longer life expectancy than the Picea system.
Of course, a similar calculation can be made for heat pumps or geothermal. Both will also be more economically sensible and ecologically not far off.
My recommendation would also be to fully equip the roof with photovoltaics and feed the excess electricity into the grid. With the money saved then buy an electric car and plant a few trees.