Why Won't 3D LUTs Export Into Photoshop From Lightroom?
With the release of Lightroom (V10.1), some users report that when moving files with one of the 3D LUT profiles being used from Lightroom to Adobe, the 3D LUTs from PRO EDU are no longer applied to the image when the file arrives in Photoshop.
PRO EDU has found that when in Lightroom, instead of using right-click>edit in, if you use right-click>export>export and use the settings in the screenshot below, the LUT settings will stay applied to the overall image.
This is an unresolved bug. The only workaround is to Export or open as a smart object and apply the profile in ACR or use the above method.
Here's the forum post in Adobe's community about it: https://feedback.photoshop.com/conversations/lightroom-classic/lightroom-classic-10-color-profile-not-embedded-in-exporting-to-photoshop-v22/5f95561249d3ca123123e900