No way to define Box variants?

Should we be able to provide styleOverrides, defaultProps or variants for Box?

• The issue is present in the latest release.
• I have searched the issues of this repository and believe that this is not a duplicate.

Current Behavior 😯

I'm not sure if this is a bug, or if it's by design. Considering the flexibility of Box I can see where it might be difficult to do.

We've been making extensive use of the ability to declare our own variants for various mui components and have found it to be more desirable than dealing with classNames.

One component that doesn't seem to work with this model, however, is Box.
I've searched the existing issues as best I can but keep coming up empty, and haven't seen anyone else discussing Box variants. I'm hoping I've just missed something.

Here's a simplified example:

const theme = createTheme({
  components: {
    MuiBox: {
      variants: [
        {
          props: { variant: 'error' },
          style: {
            border: '3px dashed red',
            textAlign: 'center'
          },
        }
      ],
    },
  }
})

I've also tried with other props such as data-variant="error", in case it's just that Box doesn't recognize 'variant'.

Expected Behavior 🤔

MuiBox variants, defaultProps and styleOverrides should work as they do with other components.

Steps to Reproduce 🕹

While working on setting up this codebox, I noticed that MuiBox is not present in components.d.ts, so I guess this is more of a feature request than a bug report :-/

https://codesandbox.io/s/heuristic-water-pzsoz

Start with the MuiBox configuration described in the issue and inspect components.d.ts, where MuiBox is currently absent. Reproduce the behavior in the linked CodeSandbox using variants, defaultProps, and styleOverrides. Done means Box supports these theme settings consistently with other components and the corresponding type declarations are present.