Does Ibuprofen Reduce or Cause More Swelling?

That's a reasonable question.  Yes Ibuprofen is an anti-inflammatory agent however it will not help with your nasal swelling.  The only thing shown to help is time.  

In general, 70% of the swelling is resolved after the first 3 months and the remainder goes down over time. Taking ibuprofen 5 weeks after surgery will not likely result in a significant difference. Swelling takes time to resolve, and it is best to be patient during the healing process. Your surgeon should be able to answer any post-operative questions you have, as they know the details of your surgery and exactly what was performed. I hope this helps, and I wish you the best of luck.