Lightroom’s LUT-style profiles are more limited than Photoshop’s Color Lookup adjustment layers.

Based on the answers: Lightroom does not currently let you stack multiple LUT/profile effects directly on the same raw photo in the way Photoshop can. A workaround is to apply one profile, export the result as a rendered file such as TIFF, PSD, or JPEG, re-import it into Lightroom, and then apply another profile to that new file.

For masking or brushing a LUT onto only part of the image, the answer is essentially no in Lightroom. Profiles are applied at the image level, not as a local adjustment with a mask.

So if you need multiple LUT layers and masked LUT effects, Photoshop is the better tool. Lightroom is faster for general photo development, but for this kind of layered, selective LUT workflow it doesn’t offer the same flexibility.