This depends on the configuration of the MDM and the MDM vendor. For example, most MDM deployments to Android for instance conform to Android For Work, which functions in practice to a virtual machine from a user's perspective, and doesn't have access to a non workspace content. iOS has a similar functionality which, while less commonly used, is there specifically for use on personal devices to sandbox off 'work' content where pervasive features like factory resets and access to phone logs and sms records don't function, and you can't access the more advanced features without having purchased the device via a corporate account.

SimpleMDM has a credit card-less trial which you could set up to see what features exist and how they work from the vendor side. You won't have access to some of the 'supervised' features without being a business,but you can see the buttons offered when you aren't a corporate-purchased device readily enough.

For corporate owned devices, the rules are very different though.