affinity photo LUT problems

[ChenJing]

The LUT problem have puzzled me for a long time . 

This is the original image and image with adjustments.

 

This is the image with the LUT formats:  .csp      .cube     .3dl     .look

 

As you can see , nothing can bring the color tone back . 

The  .3dl format can do a similar job , but it's still not the same color tone . 

Also， the function of  infer LUT ,  i put in the original source and the adjustment source of the  image reference , but nothing showed up . I still cannot get the way to use it .