It kind of works. I extracted the APK from my /e/ device and put it on an old Moto X Pure running LineageOS. The APK installed properly and the app launched and worked perfectly until I went to install an app. When I hit install it downloads the data for the app, but it can’t install as it’s not a privileged app, and it won’t ask for permission to install.
I have a theory that if the APK was pushed to the privileged folder (I forget the actual path), then it might work fully. I DO NOT RECOMMEND DOING THAT THOUGH! Pushing an APK to that folder requires root access via ADB, which can screw with system updates. Lineage had trouble updating when I used to do that with the Aurora Store and their Services files.