Thanks for the additional pictures. I'm assuming it's not base marked. Might I suggest more bottle, less tablecloth.
I can see how the arched shoulders might lead you to think it had gothic overtones. I'd say it's an early semi-automatic machine made cologne. Illinois Glass Co., in their 1906 catalog, would have called it a "Flat, Card Cologne," I believe.
I think you're mistaking a machine made valve mark for "either a pontil or fake one." The only "fake ones" I'm aware of are either Clevenger or Wheaton reproductions, and this is neither. Semi or automatic bottle machines did not involve pontils.