I think it would have to be burning a LOT of oil to clog up the cat.
Usually that happens because of the vehicle running rich, but I don't know, I've never had it happen.
So, to clarify- you removed the EGR tube from the manifold or intake and left that tube open to atmosphere, and like that it stayed running?
That does kinda point at a clogged cat or some kind of restriction in the exhaust that is preventing exhaust flow.
I'd try disconnecting the exhaust from the manifold and leaving the EGR hooked up and see if it will stay running like that, before you go cutting/removing anything.