The biggest issue with pushing for pure productivity is that it makes your team unpredictable and inconsistent. One sprint, yes you may get more out of them if

The biggest issue with pushing for pure productivity is that it makes your team unpredictable and inconsistent. One sprint, yes you may get more out of them if you pressure them. But on the next sprint? Your team has mentally clocked out. In practise going for consistent and sane pace increases productivity over the long term than trying to pressure your team. So yes, it can increase productivity but not in a naïve way.