The LE is a different rod entirely than the LTB and Avid. Granted the difference between the Avid and LTB in the 6-8 MXF can be perceived as being considerable but n the of the primary differences is strain of graphite. SCIV has a much higher recovery rate. The SCV has an even higher rate than the SCIII. The Avid compared to the LE is like comparing an NRX to a GL2; IE there's no comparison.
The power comparison isn't in the butt section, I've caught hundreds of brown fish up to the 7lb mark on my Avid and LTB, and used everything from grubs to Senkos to do it. What it does not excel at is throwing 1/8 and 1/4 oz TX rigs on light line. The power in the butt section is not what is in question, it's whether or not the tip will handle the baits without overloading.
Having fished the LE, I'd argue that it's as powerful as most of the MH casting rods on the market, let alone many. I'd give it a couple at best. For me, the Avid is a much more powerful rod in the butt section, it has a tremendous amount of lifting power in the blank without being too unforgiving. If you want a spinning rod with a tremendous amount of power, fish the NRX. Easily the lightest, most powerful rods that I've ever had in my hands. The 802 will blow the LE out of the water in every way; casting distance, accuracy, sensitivity, feel, components, power... That said, it still isn't my preference for every situation. That's the beauty of having access to different manufacturers and rods. You can be in love with one for one technique and use an entirely different rod for another. Each has benefits and drawbacks based on whose hand the rod is in.
Again as the primary rod for light T Rigs, I'd be looking at a MHXfast or MHfast opposed to a medium, regardless of manufacture. Most MH rods are going to perform better with even 1/8oz weights and plastics than are their MXF counterparts. Without a doubt the MH rods are going to give you a better feel for working the bait if you are consistently fishing 1/8oz and heavier weights.