He wasn't asking "wat STR do" but rather why you quantify it as a superior choice for TP gear given mutual exclusivity.
Which it isn't. The magnitude to which 20 STR is better in its best cases is far smaller and less numerous than in the cases where DEX is superior. If you don't need the accuracy, make better, non-fixed switches first. Furthermore (and perhaps most importantly), if you put DEX on it then it's also pretty baller for Shun.