What is the average length of a combat engagement, in your vision? To-Hit chance works better when there are longer combat encounters, because it gives time for the average damage of each weapon to stabilize between hits and misses. However, in short combat encounters, characters who wield high-damage/low to-hit weapons get shafted on a miss. They don't have the time for those big hits to start coming through every third or fourth attack or so, wheareas the characters who reliably hit for smaller damage still get their licks in.
If you're looking at it numbers-wise (and lots of people will), all that matters is average damage. And average damage will matter most when you can trust that average to actually appear.