What is wrong with your converter? Is it clogged, then yes to a decrease in miliage due to that! If it is just not performing then it may effect your fuel air mixture and that would cause what your seeing as well.
If you replace your converter I would love to buy your old one from you to make a test pipe so I can take mine off.
I would even pay shipping to me and then ship it back to you. I need it to make a test pipe.
BP