Just to extend the answer a bit in a “big picture” kind of way…
The separate listing of Camera Raw in the Creative Cloud installer is for the Adobe applications that use the plug-in version because they don’t have Camera Raw built in. So when you update the Camera Raw plug-in, that affects Adobe Photoshop, Adobe Bridge, and Adobe After Effects.
But that won’t affect Lightroom and Lightroom Classic, because they use their own integrated version of Camera Raw. For them, raw engine updates come with application updates.
Adobe says Photoshop Elements and Premiere Elements also use Camera Raw, but because I don’t use those I’m unclear on whether updating the plug-in independently also updates those applications. I’ve been under the impression that they get raw engine updates only with application updates, but I could be wrong.