It’s used for more than just email. For example, you can sign packages on for Pacman on Arch Linux with GPG (https://wiki.archlinux.org/title/Pacman/Package_signing), and they have you configure public key servers, which includes openpgp. Now, if I had set that up for package signing and other personal uses (like SSH keys, git commit signing, etc), that doesn’t mean I have my email set up to be encrypted.
You should 100% be able to set a flag on the key server what you are set up to automatically receive using the key.