If the patent claim does not mention the paper towel rod, but mentions the rod with wider protection scope, it belongs to infringement.
If the patent claim does not mention the paper towel pole, but only mentions towel bar, it does not constitute the same infringement, but it may constitute equivalent infringement (if it is easy to think of using it instead).
Pay special attention to whether there are other differences, if there are, the possibility of infringement will be smaller.