Kalen:
This is true of most courses, although I would use the term "Built" instead of "Designed". [Leaving something alone is part of design.] I will use a couple of my most familiar courses for examples:
PACIFIC DUNES
Discovered: 13, 16, 7, 10, 18, 9, 6, 2
Built: 8, 17, 11, 4th green
BALLYNEAL
Discovered: 3, 4, 8, 12, 16
Built: 7, 9, 11, 14, 17
I have noticed on reflection that sometimes the "built" holes surpass the "discovered" ones, because I tend not to want to embellish a discovered hole too much.