Try to download profile for iOS 14 from beta.apple.com. Get message:
My Settings - General page (on both devices) doesn't give 'Profile & Device Management' option.
When I go to Settings - General - Software Update, I get
My devices are iPhone 6s and iPhone SE (probably 1st generation, not sure) that, according to release information, should run iOS 14.Profile downloaded.
Review the profile in Settings.app if you want to install it.
My Settings - General page (on both devices) doesn't give 'Profile & Device Management' option.
When I go to Settings - General - Software Update, I get
without a prompt to upgrade.iOS 13.5.1
Your software up to date