It sounds like I'm in the minority. But I've switched to LTs twice on 1/2 ton vehicles and not seen a huge improvement.
Disclaimer -- I towed lots of miles on P's with my '05 Suburban, switched to LTs and only towed a few times before buying my 2500 pickup. And with my F150, I only towed on the stock P's a couple times before putting the current LT's on (Michelin LTX M/s2), as the stock Goodyears were pretty worn when I bought the truck this spring.
But I towed at 44 psi or so on my P's, and about 55 psi with the LTs. I can't say I see a big difference. The mpgs on my F150 have dropped off by 5-10% since switching to LTs, however, since they are a bit heavier.
2008 Hornet Hideout 27B
2010 Chevy Suburban 1500 LT, Z71 package, 5.3/6A/3.42
2015 Ford F150 XLT Supercrew, 2.7 Ecoboost/6A/3.55 LS
Prior TVs:
2011 Ford F150 Ecoboost 3.5
2006 Chevy Silverado 2500HD Duramax LBZ
2005 Chevy Suburban 1500 4x4 LT, 5.3/4A/4.10