

It’s not that it’s closed, it’s more that none of the exiting email protocols support a server which can’t read your email (as it’s all encrypted). They do offer Proton Bridge which you can run locally which will handle all the decryption and local mail clients can talk to that as the would any other mail server.
I don’t know off hand if it supports calendar syncing though.
The reason that Google got ruled against originally was that they were paying and offering incentives to developers to keep them from releasing their apps on other app stores.
Google also doesn’t support a user installing the Play Store themselves (and the required Google Play Services dependency). So phone manufactures have to choose to include it on everybody’s phone from the get go, or their users won’t be able to use it at all.