Module AMD and outFile causes declaration emit to use module that does not exist

[AnyhowStep]

TypeScript Version: 3.5.1, 3.7.5, 3.8.3

Search Terms: module, amd, outFile, declaration emit

Code

git clone https://github.com/AnyhowStep/tsql.git
cd tsql
git checkout e5a0d16ac31d868f03386b4381e51eed5f6c731d
npm install
./node_modules/.bin/tsc -m amd --outFile test-amd.js

1. You should now see a test-amd.d.ts file.
2. Open test-amd.d.ts with VS code or something.
3. Set VS code to use the TypeScript version in node_modules (3.5.1)
4. Ctrl+F > const concat:

You will see this,

Cannot find module 'expr-library/factory'.ts(2307)

That module, indeed, does not exist.

In fact, it is looking for import("expr-library/factory/make-operator-1-to-n").Operator1ToN but is looking at the wrong module.

There are many other places where it references "expr-library/factory", which does not exist.

Expected behavior:

emitted .d.ts should either use import("expr-library/factory/make-operator-1-to-n").Operator1ToN or emit a "expr-library/factory" module

Actual behavior:

Emit uses "expr-library/factory", it does not exist

Playground Link: None

Related Issues: None

[AnyhowStep]

If you install 3.7.5 or 3.8.3, set noEmitOnError : false, and compile, the same problem occurs.

[AnyhowStep]

Created a minimal repro,
https://github.com/AnyhowStep/amd-module-does-not-exist

If I change,

//src/use-bar.ts
import {makeBar} from "./foo";

export const bar = makeBar();

To,

//src/use-bar.ts
import {makeBar, MyBar} from "./foo";

export const bar : MyBar = makeBar();

It seems to fix the emit.

So, type inference is somehow breaking declaration emit

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If this is fixed, could it be backported to 3.5? =(