The test file at https://github.com/mozilla/pdf.js/blob/master/test/pdfs/annotation-choice-widget.pdf contains listboxes, which are not rendered correctly when printed right now. These kinds of fields are made by https://github.com/mozilla/pdf.js/blob/master/src/display/annotation_layer.js#L672-L678.

/cc @calixteman 
constructor(parameters, options = null) {
    const isRenderable = !!(
      parameters.data.url ||
      parameters.data.dest ||
      parameters.data.action ||
      parameters.data.isTooltipOnly ||
      parameters.data.resetForm ||
      (parameters.data.actions &&
        (parameters.data.actions.Action ||
          parameters.data.actions["Mouse Up"] ||
          parameters.data.actions["Mouse Down"]))
    );
    super(parameters, {
      isRenderable,
      ignoreBorder: !!options?.ignoreBorder,
      createQuadrilaterals: true,
    });
  }
  render() {