How to turn off Bad Quality indicators in DataHub WebView

Yes.  Each control has a set of "Common Properties: Data Binding" that allow you to control what the user sees when Data Quality is bad. By default, the Bad Data Adornment property is set to IconAndShading (it is actually set to PageDefault, but the page default property is IconAndShading). If you wish, you could set the Bad Data Adornment to None and use your own custom adornment, e.g., set the control's Background and/or Border common properties to a script expression that references Common Property: Data Binding | Data Quality.