Some Mac applications (e.g. Grammarly and Spotify) require wide-ranging permissions to install properly and can only be successfully installed via an Admin Session. Further, these applications almost always require the same wide-ranging permissions when they auto-upgrade, meaning that another Admin Session must be started before upgrading the app.
This is simply due to the nature of how processes work on the macOS operating system. When attempting to run an installation or upgrade via Run As Admin, a pop-up window prompting for admin credentials will be triggered by the OS whenever a separate executable that handles access to another area of the file system is invoked. At the time of writing, the only way around this is to carry out the installation or upgrade via an Admin Session.