The big issue currently is, you can't even re-create rich colors. You need to capture (DSLRs can) and save them in higher-gamut format, like AdobeRGB (let's ignore ProPhoto and other niches) along with proper color-profile.
This is essential if you need to capture rich colors like saturated green fabric for calibrated product shots.
3dsMax then "kinds of" is able to read it and shows it but only for anything else than sRGB (but without giving you the option to make sure it's interpreted correctly, btw Maya can do it), but Corona framebuffer is not color-managed, so it just shows the display gamut (looks oversaturated on wider-gamut displays). It doesn't assign a profile, but to retain correct input colors, you needs to assign sRGB profile in Photoshop or other post-production software to retain consistency. And sRGB absolutely clips colors, but if you had AdobeRGB texture, it will actually 'assign' (not convert to !) sRGB (Corona framebuffer or 3dsMax, not sure which does it) by brute force, and it's incorrect again (shifted, thus undersaturated because bigger space to lower space).
Well, it's one big inconsistent mess, and the only way to currently work, is use sRGB textures (or no color profiles, 3dsMax will think of them as sRGB anyway), clamp your Windows and Display to sRGB (so your viewport and Corona framebuffer show sRGB colors), and then assign sRGB in Photoshop or else in the end. Basically only pure, 100perc. sRGB workflow is correct, nothing else. One incorrect step (aRGB texture or aRGB assign in Photoshop) and it's wrong.
But fucking sRGB is 50 years old shit standard. Just look how sad it is:
We need proper input/output color managed pipeline. So the textures needs to be interpreted correctly with their respective color profiles, CoronaFramebuffer needs to be able to previews in color profile of choice ( when Photoshop reads linear files, it assigns preview of color profile of choise, so it can be linear-"sRGB" or linear-"aRGB", etc..) and output in respective color profile of choice.
Then it would be possible to maintain full color spectrum until the very end, and clamp to sRGB only after everything is done in Photoshop before export to web, but keep full correct colors for print if needed.
3dsMax is lost case but Corona could definitely do following:
CoronaBitmap would read color-profiles, like Maya bitmap does. Choose your color space and gamma. Keep default sRGB, no one who doesn't want don't need to touch it.
Framebuffer would preview in color-profiles. sRGB by default. Option to show aRGB for those with wide-gamut panel (everybody with better than 500 euro shit).
Output with color-profile for managed post-production. Exactly as the above Ocean does.