Pixel sniffing will not really prove anything, and nore will a grey scale image, as a viable film emulation LUT will have cross-colour contamination, varianle grey scale colour temp,, and other artefacts, as that is what film has by default... It is a very, very non-linear colour medium!
See: https://www.lightillusion.com/free_look_luts.html
But, as the page shows, there are a lot of bad LUTs out there.
Steve