This is a confusing design choice in TypeScript.
In the short term you can work around it by specifying the output file:
in main.ts specify the .js extension and path:
import { testText } from './module1.js';
alert(testText);
This will pick up module.ts correctly, but output with the .js extension included.
Note that you also need to prefix local files with ./ as ‘bare’ module names are reserved for future use.