No stats do not tell the “whole story,” but the particular stat shown was in response to your very specific excuse for Allen: that his receivers dropped a lot of passes. Simply not true, relative to the other QB prospects’ drop rates.
Now you’re backing off of that claim, which is fine. He may very well end up being a good pick for someone, but let’s not bend the truth in an attempt to make excuses for the guy. The shortcomings are there. BTW, his completion % stayed steady for ‘16 and ‘17, and he had two different receiving corps those years. Maybe the problem is him.