Thank you for the post, one last item that I thought of, when you work with your data through a model you miss a warning that you would receive if you you tried to add the data to ArcMap as WY data. If you were to add the table as XY data you would receive the following warning:
The table you specified does not have an Object-ID field so you will not be able to select, query, or edit the features in the resulting layer, or define relates for them.
After you create this layer, you can export it to a shapefile or feature class if you need these functions. To export a layer, right-click it in the Table of Contents and choose Data>Export Data. Add the exported data to the map as a new layer.
What this is saying is you are loading a table of points and I cannot find the associated objects, because the table stands alone. So, it says we will let you do this, but as a result you are unable to select, query, or edit because currently there is no underlying objects with the data. Once you perform the export the needed attributes and objects will be created to allow you to perform these functions.
I hope this helps.