If you are referring to apps from the App Store, it doesn’t matter.
Only if you restrict app installation for the other accounts, you would have to use the admin account to update.
restrict-store-disable-app-adoption
“If true, disables app adoption by users. Available in macOS 10.10 and later.”
https://developer.apple.com/documentation/devicemanagement/appstore
restrict-software-update-require-admin-to-install
“If true, restrict app installations to admin users. This key has the same function as the restrict-store-require-admin-to-install key in the com.apple.appstore payload. “
https://developer.apple.com/documentation/devicemanagement/softwareupdate
With apps from outside the App Store, it depends on the app. An example: LibreOffice doesn’t reacquire an administrator account for instalation/update, but Microsoft Office must be installed by an administrator.