So when comparing Webb and Hubble images, we cannot rule out that the colours have been enhanced in post processing and comparisons taken with a grain of salt?
False color images are common in astronomy as they're working with spectrum ranges wider than our eyes. There's nothing about this that requires a grain of salt style skepticism.
There is no naked eye picture to compare it with, so you can't say enhanced. To answer your question, though, the JWST pictures and the Hubble pictures were turned into RGB images in the same way.
> JWST pictures and the Hubble pictures were turned into RGB images in the same way
Webb and Hubble have different filters so what does this mean? Did they just take some Webb filters and pretended they where Hubble filters and ran their old code?
What I mean is, a telescope will produce several arrays of numbers detailing the number of photons received by each sensor pixel, one array for each frequency it measures. Then you pick three arrays and pack them into a bitmap as the R G and B components. At most you can get fancy by letting it mix three artistically chosen colors (rather than red green and blue), but a lot of pictures don't even involve that. That's the same between Webb, Hubble and any other telescope. Even digital cameras do it - they differ from the human eye, not by a lot but noticeably under some conditions.
Though I suppose if one has the distance one could shift back to the color it would be without redshift. Kinda tricky with light from multiple sources in a single pixel of course, and I'm not sure it would be terribly exciting overall.
The main problem with visible light is it's absorbed and scattered by dust. It's Webb's ability to see through all that dust in the IR spectrum that reveals a huge amount of information and images Hubble and our eyes would never be able to see.
The JWST sees in infrared. Our eyes don’t. This makes it not representative of what we would see with our eyes.