I wonder if they could build a very large dish in Earth orbit. Probably cost prohibitive though. Also there's the power and cooling aspect when transporting... Would there be any advantage to a space based station?
You could build a planet-sized interferometric array without having to obtain land in different countries. If the orbit's much bigger than the planet, you can have most of the antennae always be usable instead of half on the wrong side. You can pick up wavelengths blocked by the atmosphere. You can build multi-kilometer single dishes out of mylar or steel cable, without gravity and air currents bending them. You can use it to focus sunlight onto surface locations, but probably shouldn't.
I'm no space expert, but I'm not sure this would be say better. It would certainly be epically more expensive.
Two obvious issues spring to mind;
The orbit would need to be polar to avoid being blocked by the earth (assuming the craft is in the solar plane). Whatever orbit was chosen at least some planes some of the time would be obscured by the earth.
And orientation fuel becomes an issue. Outside of refueling it becomes a hard end-of-life factor.
Contrasted to land-based stations. Which are happily operating 50 years and can be maintained etc.
Frankly I'm not sure there would be any advantage to a space receiver- and it's several orders of magnitude more expensive.