My experience (from early 60's on) is consistent with artonpaper, basically, years ago, VC, or MG as they are known today, were just not up to the quality of the best graded papers.
Chimneyfinder makes some points about using graded paper, but I don't see them as advantages, rather techniques that can help.
My opinion on your question, as asked, is that there is no advantage, except:
If you like the look (color, tonal response, response to toning, etc) of a graded paper very much and can't reproduce it with any MG paper, or
Due to your enlarger light source, you have problems using MG papers with their filtration.
As Chimneyfinder points out, graded papers may be more consistent, especially if your light source varies, or if your MG filters fade over time, etc. To me, this isn't a problem, though. I keep very good records of exposure and filter combinations (I do a lot of split filter printing - not possible with graded paper), and if I start to reprint something 2 years after the original, following the "recipe" from the first time, I just adjust to get what I want (I might even change my mind about what I want. . .) I don't see any inconsistencies with printing multiple copies at the same time.