Difference in binding path would depend on the entities, how the odata is build and how you are trying to display the data.
do not set the models to core, set them to view or component.
if you have to set the models to the core, set them as named models
e.g. sap.ui.getCore().setModel(omodel1, 'omodel1')
Unnamed models in Core will over-write each other depending on the sequence.
