Missing Nikon Z camera and lens profiles

Here are some screen shots of what I am seeing. Before I get into that, I have updated my camera's firmware to the latest version to make sure that isn't an issue. Then I took a raw (NEF) image.

This is what I see when I enter the Develop module and press "I".

This is what I see what I select "Enable Profile Corrections". Notice that text "Unable to locate a matching profile automatically".

When I set the Make to "Nikon", this is what I see. Notice that a weird lens is selected.

When I open the Model list, this is what I see. It's a big list, and doesn't include any Z-series equipment.

So, what am I doing wrong?

"When I said the "popup only has a few choices", that is for JPG images."

Most lens profiles are only defined to work with raws. This is because the JPEGs don't specify whether a lens correction has already been applied by the camera or software.  See here for a simple edit that enables profiles for JPEGs:

https://feedback-readonly.photoshop.com/conversations/camera-raw-and-dng/camera-rawlightroom-lens-profile-requests-and-information/5f5f45a84b561a3d4258a112?commentId=5f5f482d4b561a3d420ef916&replyId=5f5f4ac74b561a3d42c2679c

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With most mirrorless cameras, including the Z line, the camera embeds the lens profile in the raw file.  For older cameras, that lens profile is automatically applied by LR and you can't stop that. For many newer cameras, LR will apply the embedded profile by default, but you can disable that. In general, LR doesn't provide separate profiles for these lenses, since the manufacturer embeds them in the raws.

For example, this is what I see with a sample raw from the Z 6 / NIKKOR Z 24-70mm f/4 S:

Clicking the "i" yields that pop-up. Unchecking Enable Profile Corrections has no effect -- the profile will always be applied.

Here's what I see for a sample Z 6 II:

The "Camera Settings" indicates the profile is embedded in the raw by the camera.  In this case, unchecking Enable Profile Corrections will disable the application of the lens profile.

You can see out-of-date documentation about this here:

https://helpx.adobe.com/x-productkb/multi/lens-profile-support.html#Cameraswithbuiltinlensprofilesupport

Though it's been a couple years, it hasn't been updated to document the handling of newer cameras.

If you're seeing something different, please post screenshots so we can see exactly what.

More information. When I said the "popup only has a few choices", that is for JPG images. For the NEF (raw) image, there are many more choices, but still no Z lenses.

If I manually set the Make to "Nikon", Lightroom autoselects the Model to "Nikon AF-S NIKKOR 105mm f1.4E ED", a lens I do not own.