There is no good way to predict how well the copy will do. Sometimes the conversion rates can skyrocket overnight. Sometimes the new copy turns out to be a downright dud.
Maybe it's because the offer is weak. Perhaps the headline is the bottleneck. It's impossible to put the finger on the problem as all you have are hypothesis. The only way to know is to test.
Don't trust a copywriter who says he always writes killer copy on his first try. Nobody does.
Most common problems:
Start with A/B testing value propositions, and go from there.