[Robert Morris] “Through my research I have discovered that FCP is 4:2:2 and the Quicktime Animation codec is also 4:2:2.”
That’s incorrect. The Quicktime Animation codec is 4:4:4 RGB, and can have an alpha channel. The gamma shift is not a 4:2:2 vs. 4:4:4 issue, it’s a YCrCb (YUV) to RGB conversion issue.
For a great codec reference resource, check out:
https://codecs.onerivermedia.com/
The central issue for you is how the post house is digitizing the 16mm footage: are they capturing via telecine to an HD video codec/format, or capturing via datacine to DPX, Cineon or TGA image sequences? Aside from HDCAM SR, HD video formats are YUV 4:2:2. Does the post house offer digitizing to a 4:4:4 RGB HD video codec? You may not even be starting out with 4:4:4 RGB video to begin with.
I’d suggest exporting your AE comps as .tga or .tif image sequences. The client can then open the image sequences in Quicktime and export them as self-contained Quicktime movie files using the appropriate codec for editing in their FCP project.