How to fix TS2307 when resolving name via babel-plugin-module-resolver?

Issue: We're trying to move to Typescript but absolutely stuck on: TS2307: Cannot find module 'our-filesystem-platform' or its corresponding type declarations.

Context: We have a few imports that we swap out depending on the environment, and we resolve them to the correct name using babel-plugin-module-resolver.

Our .babelrc.js looks like:

{
  "plugins": [
    ["module-resolver",
      {
        "alias": {
          "our-filesystem-platform": "our-filesystem-rn",
        }
      }
    ]
  ]
}

And our tsconfig.json looks like:

{
  "compilerOptions": {
    "baseUrl": ".",
    "paths": {
      "our-filesystem-platform": ["packages/native/our-filesystem-rn"],
    }
  }
}

I also tried "our-filesystem-platform": ["packages/native/our-filesystem-rn/src/index"] without any luck there either.

How can we fix this error without totally restructuring our project, or littering it with @ts-ignore? It seems like TypeScript demands that the resolved module name match the requested module name.

I saw this question but it's not quite the same, and we can't simply add * at the end of the paths to fix this.