Seems an arbitrary way to measure this... even though your numbers back me up.
How many weeks was he not a WR1 and vice versa.
Now do that for the other WR1s.
I'm betting he had the most weeks as a non WR1 over the last 2 years. Maybe the most weeks as a top 5 the last 2 years as well.
Assume you are suggesting that, of all players who finished ranked as a WR1, Cooks had the most weeks where he did not rank as a WR1, where WR1 is defined as top 12 WR scores for the week.
I would point out that this is also arbitrary. The cutoff between WR12 and WR13 in a given week could be 0.1 point, e.g. 19.2 points to 19.1 points. Thus, that cutoff does not always represent real value.
However, I was interested enough to look at this for the 2016 season (regular season weeks 1-17). I used scores in one of my standard PPR leagues. There were 80 players who had a top 12 weekly score at least once. Here they are, with their number of top 12 weeks:
8 Beckham, Odell NYG WR
8 Brown, Antonio PIT WR - 15 games
8 Evans, Mike TBB WR
8 Jones, Julio ATL WR - 14 games
7 Nelson, Jordy GBP WR
6 Hilton, T.Y. IND WR
5 Baldwin, Doug SEA WR
5 Bryant, Dez DAL WR
5 Landry, Jarvis MIA WR
5 Meredith, Cameron CHI WR
5 Tate, Golden DET WR
4 Adams, Davante GBP WR
4 Benjamin, Kelvin CAR WR
4 Cooper, Amari OAK WR
4 Diggs, Stefon MIN WR
4 Green, A.J. CIN WR - 10 games
4 Robinson, Allen JAC WR
4 Sanders, Emmanuel DEN WR
4 Thomas, Demaryius DEN WR
4 Thomas, Michael NOS WR (R) - 15 games
3 Cooks, Brandin NOS WR
3 Crabtree, Michael OAK WR
3 Fitzgerald, Larry ARI WR
3 Inman, Dontrelle SDC WR
3 LaFell, Brandon CIN WR
3 Matthews, Rishard TEN WR
3 Montgomery, Ty GBP WR
3 Smith, Steve FA WR
3 Thielen, Adam MIN WR
3 Wallace, Mike BAL WR
2 Austin, Tavon RAM WR
2 Brown, John ARI WR
2 Crowder, Jamison WAS WR
2 Edelman, Julian NEP WR
2 Fuller, Will HOU WR (R)
2 Ginn Jr., Ted CAR WR
2 Hill, Tyreek KCC WR (R)
2 Hopkins, DeAndre HOU WR
2 Jones, Marvin DET WR
2 Lockett, Tyler SEA WR
2 Matthews, Jordan PHI WR
2 Nelson, J.J. ARI WR
2 Pryor, Terrelle CLE WR
2 Sanu, Mohamed ATL WR
2 Snead, Willie NOS WR
2 Stills, Kenny MIA WR
2 Williams, Tyrell SDC WR
2 Wright, Kendall TEN WR
1 Allison, Geronimo GBP WR (R)
1 Amendola, Danny NEP WR
1 Beasley, Cole DAL WR
1 Boldin, Anquan DET WR
1 Boyd, Tyler CIN WR (R)
1 Britt, Kenny RAM WR
1 Coates, Sammie PIT WR
1 Cobb, Randall GBP WR
1 Coleman, Corey CLE WR (R)
1 Decker, Eric NYJ WR
1 Enunwa, Quincy NYJ WR
1 Gabriel, Taylor ATL WR
1 Garcon, Pierre WAS WR
1 Hawkins, Andrew CLE WR
1 Hogan, Chris NEP WR
1 Humphries, Adam TBB WR
1 Hurns, Allen JAC WR
1 Jackson, DeSean WAS WR
1 Jeffery, Alshon CHI WR
1 Kerley, Jeremy SFO WR
1 Marshall, Brandon NYJ WR
1 Mitchell, Malcolm NEP WR (R)
1 Parker, DeVante MIA WR
1 Quick, Brian RAM WR
1 Rogers, Eli PIT WR
1 Royal, Eddie CHI WR
1 Shepard, Sterling NYG WR (R)
1 Thompson, Deonte CHI WR
1 Watkins, Sammy BUF WR
1 Wilson, Albert KCC WR
1 Wilson, Marquess CHI WR
1 Woods, Robert BUF WR
The top 12 in ppg for the season are bolded. I noted number of games played for some notable players but not all.
Cooks and Fitz tied at the lowest number of top 12 weekly scores, with 3 each. Take a look at the guys who finished with 4-5 such games. How many would you rather have than Cooks?