Running the same failing module script breaks ECMA assumptions

Having a page like:

<script type="module" src="runtimefail.js"></script>
<script type="module" src="runtimefail.js"></script>

where runtimefail.js throws some non parse error.

Means the evaluate method of a Source Text Module Record is called twice.
This is a problem as described by https://github.com/tc39/ecma262/issues/2823 .
It call Evaluate on the exact same module as modules are cached as described in https://html.spec.whatwg.org/multipage/webappapis.html#fetch-a-single-module-script .

To me it looks like this is a ECMAscript issue, but the An error to rethrow field of a script could perhaps provide an alternative way to solve this.

Start with the HTML Standard's “fetch a single module script” algorithm and the linked ECMA-262 Source Text Module Record evaluation rules, then review TC39 issue 2823. Determine how repeated failing module scripts should be specified, including whether the script's “An error to rethrow” field is relevant; done means the HTML and ECMAScript behavior is resolved and documented consistently.