Currently there is no option to filter new message notifications based on message channel. Users receive the same notification for all message channels regardless of whether it is an email, SMS, call or social media DM.

I think users would find it helpful for a much more granular and customizable notification settings menu that allowed them to choose notification types based on message channels.

For example, I would love the option to choose to be notified via push notification for all SMS received. But, be able to choose not to receive any notification for inbound emails. And, choose to be notified via email and SMS for all social media DMs.