I think you're thinking of the LGPL. The AGPL is basically GPL plus some additional requirements. I could see a company being OK with ~AGPL~ GPL but not ~GPL~ AGPL. I can't imagine the opposite.
I think you have a typo mixing up AGPL and GPL. I agree that it would be hard to imagine a company being okay with the AGPL but not the GPL. On the off-chance that it isn't a typo, could you explain why a company might be okay with AGPL but not GPL?
Edit: Oops, typoed the license names.