Normal for One Side of Nose to Heal Better Than the Other One After Rhinoplasty?

It really depends upon what rhinoplasty techniques were performed to make an educated guess as to why one side is more swollen than the other. If a unilateral spreader graft and/or other tip cartilage grafts were placed on that side, it will remain more stiff, woody, and firm than the opposite side. It does take longer to heal if asymmetrical surgery was performed on the more involved side. 

A little bit of asymmetry is not unusual in the first year after surgery.  Your swelling will come down at different rates in different areas, and some days you'll seem more swollen than others.  If you had more work done on one part of the nose than the other, then this would also account for your varied swelling.  I suggest waiting and seeing your surgeon when advised.  You can also ask him or her if you have concerns that the differences are very marked.  Good luck, /nsn.