It all doesn't matter. It is all about the tippet. You will actually probably bring to net more fish with the lighter rod. Not breaking off the fish with a hook in him. And you CAN land the fish just as fast.

The tippet is going to break no matter which rod you use...if you get to the break point of that material. I do not use an extra light rod to fish for trout. But I can put just as much pressure on a 6x tippet with a 3wt as you can with a 6wt. And THAT pressure will break the tippet at some point.

I do not see how you can put more pressure on the same tippet material and bring to net a fish faster with a bigger rod.....than...
using the same tippet with a smaller rod. When the tippet is 3lb tippet and gets to its break point it will break. And it doesn't matter if it's a broomstick or a willow switch.