Just a thought, but you could go to your ArcGIS Online account (Content), delete the old zipped up shapefile and then upload the new zipped up shapefile with the same name as your old zipped up shapefile.
If you use ArcGIS Pro, you can create a (hosted) feature layer and then when the time comes to update the feature layer, you can overwrite the feature layer.
Why are you using zipped up shapefiles just out of curiousity?