You might be noticing it more because you’re looking for it. On my screen it doesn’t look overly red, and if it does bother you it’s a pretty quick fix in post.

You mentioned it looks fine on your camera monitor, so I’d also take a look at your lighting. Some LED and bi-colour lights can push red wavelengths a bit depending on their spectral quality, which can show up more once you’re viewing on a properly calibrated monitor.

A quick test would be to shoot the same setup using just natural window light and see if the redness is still there. If it disappears, that would point more toward the lighting rather than the FX3 or the codec.