Typescript + GraphQL Dataloader more strict types using generics or overloads

I'm using GraphQL's dataloader and I'd like to make my return types more strict based on the keys that are passed in. How could I accomplish this? Feeble attempt below. I know why it doesn't work, but not sure what to fix. (same code exists in ts playground here)

type FruitName = 'apple' | 'banana'
type FruitKey<TName extends FruitName> = {name: TName, id: number}
type Apple = 'A'
type Banana = 'B'

interface FruitValues {
  apple: Apple
  banana: Banana
}

declare class DataLoader<K, V> {
  load(key: K): V
}

function getLoader<T extends FruitName>() {
  // This doesn't work, but it's the goal-- use the T generic to show the relationship between key & value. 
  return new DataLoader<FruitKey<T>, FruitValues[T]>()
}

function main() {
  const fruitLoader = getLoader()
  // Given that the name is 'apple', the return type should be Apple, but it is Apple | Banana  
  const apple = fruitLoader.load({name: 'apple', id: 1})

  // Given that the name is 'banana', the return type should be Banana  
  const banana = fruitLoader.load({name: 'banana', id: 2})
}