The full official names from Adobe:Yeah. I thought "Photos" was a stupid name (kinda hard to search on it) but Lightroom Classic and Lightroom CC is even more idiotic. Source of constant confusion; the tech support folks probably wanna hang the marketing folks.
In any case, Classic is the local storage application, and CC is the mobile and cloud based application. The "new" desktop application is called "Adobe Lightroom CC." The old application, the successor to the standalone verions, is Classic.
Adobe Photoshop Lightroom Classic CC is the current desktop version.
Adobe Photoshop Lightroom CC is the cloud-based version.
Lightroom Perpetual (AKA the REAL classic) is the never again to be updated version.
With the new Classic CC release (why do they still bother with release numbers?) Adobe reset the trial switch to allow another week, so I did the update to see if there was enough improvement to tempt me away from Perpetual, For me no. The sad thing is that after all of these years scrolling in grid view is still horrible. If Photos and ON1 and Capture One can do it right, why not Adobe?