If you want to play 5-6 guys huge minutes, they need to have high stamina or they're just not going to perform up to their capabilities. If you're going to create a 10 player deep roster with solid back-ups it becomes less important.
I find teams in the lower leagues, myself included when I was there, are far less likely to create deep benches because of the cost so I placed a much higher emphasis on stamina back then.