Currently is it not possilbe to export the form of a survey that was published using Survey123 Web Designer. This means that it is not possible to easily publish a survey in web designer that is based off a survey in another ArcGIS Online Organisation. At the moment it is only possible to look at the the schema of another survey and manually recreate the questions.
This is a common use case for Support who need to quickly reproduce a customer's survey.
Please either allow the a survey published in web designed to be exported as an xlsx form or exported as a template.