@korina I have reproduced this in both Safari and Chrome on macOS.
The selected forecast model at the bottom does not change. However, the values displayed in the map do and are not consistent with the selected model. ICON is still selected but the value being shown are for ECMWF.
Another way to see this is by looking at the URL. This normally gets rewritten as you select different model at the bottom.
Which the hourly forecast open at the bottom with ICON and (say) temperature displayed in the map you see:
If you now select satellite in the map, you get:
If you go back to temperature it becomes:
Note that the "icon" parameter has been lost, causing it to display ECMWF values in the map. This is despite the fact that the ICON model has been selected the whole time.
The fix for the bug is when changing to a map options that has different models, you need to see what is selected in the hourly settings and use that. Note that if you don't have the hourly forecast at the bottom, the map model changes to ECMWF when returning from the Satellite option to Temperature. This is another possible fix, but I'd prefer if it remembered the model as you go from Temperature -> Satellite -> Temperature.
Hope that helps clarify things.