This is manly a demonstration of the imaging capabilities of JWST. Making actual sausage is a way longer, way more boring process.
It depends on the science of course, but generally the sausage is made with specialized software that produces contour plots with error bars and what-have-you. The actual calculations will be done using just numbers, fitting models to data without any pretty pictures at all.
This likely wouldn't have made #1 on HN without "pretty pictures" (this is what astronomers calls them). Photoshop is made for pretty pictures so it would be silly _not_ to use it. :)