They most certainly do NOT go hand in hand. In January I made a
thread, about ACC players in the NFL. They had 4 players on NFL rosters. After the NFL draft and free agent signings, this is STILL the case. Look how far the other schools, except Duke, GT, and UVA, jumped up due to the draft and free agents.
Here's the current list.
Miami - 60 from 45
FSU - 38 from 30
UNC - 37 from 26
UMD - 33 from 30
Clemson - 32 from 23
VT - 29 from 18
Pitt - 29 from 21
Syracuse - 25 from 15
NCSU - 23 from 16
BC - 22 from 20
GT - 22 from 24 (They and UVA only schools to trend downward)
UVA - 22 from 23 (They and GT only schools to trend downward)
WF - 14 from 9
Duke - 4 from 4 (At least they didn't trend downward?)
Total - 395 from 304
Obviously these numbers will drop as players will be weeded out, but for Duke to still only have 4 on a roster is surprising. There are really no players NFL teams even want to look at?
I also looked up SEC teams they have 428 players total, currently, on NFL rosters. Their highest is LSU - 51 and lowest Vandy - 11.