My previous set of Goodyear Duratracs felt a little bit softer than my current Cooper Discoverer ST Maxes. Both are Es, so there might also be differences between manufacturers beyond the letter code. . . .
You have hit the nail on the head and your example illustrates why overgeneralized subjective opinions about tire load ratings should not be relied upon as gospel, e.g., statements such as "E's on a TJ suck . . . ." There is much more to it than load rating and not all E load rated tires are constructed the same way or have the same ride on the street or compliance (or lack thereof) over rocks and obstacles.
The Cooper ST/Maxx, ST/Pro and Mickey Thompson Baja MTZ and ATZ tires share the same tire carcass with 3-ply sidewalls. However, Goodyear Duratracs can have either 2-ply or 3-ply sidewalls depending upon the size and manufacture date. Industry literature also suggests that the Duratracs use lower denier thread in the sidewalls and less of it than the Coopers. That, and the construction of the treads has a tremendous effect on the stiffness of the tire, how it rides, and how well it might conform to obstacles at very low pressures. This may explain why your perceptions of the ST/Maxx and Duratrac are so different. I've used both ST/Maxx and Duratrac tires, albeit not on a jeep, and my impressions of the two tires are not dissimilar to yours.
Another problem with focusing on load rating alone is that the weight of a jeep has an impact on how a D or E load rated tire rides at common street pressures of 24-28 psi. Not all TJ's are built in the relatively lightweight style one poster on this or another jeep forum coined as a
Southern California fairweather rockcrawler, which as one might imagine is a jeep that may be armored and equipped with built-up axles and big heavy tires, but is stripped of all gear and weight unnecessary for a day run. The reality is that there are as many if not more jeeps built for camping or multi-day trails that regularly carry more passengers and weight and on which tires with of a D or E load rating will perform differently.
If I were running a lightweight jeep I would try to find a C load rated LT tire as my first choice, but those of us who own Rubicon's and run 16" wheels have very few of those to choose from and none in the larger sizes. Moreover, those of us who own LJ's frequently upgrade to 16" brakes, the size frequently recommended for LJ's by Black Magic Brakes, which prevents us from downsizing to 15" wheels in order to buy C load rated tires. The reality for many is that C load rated tires are simply not an option.
I may have to air down my E load rated Mickey Thompson Baja ATZ P3 tires installed by the previous owner lower than I would have to air down a tire with a lower load rating in order to get the same flotation or deflection, and my current tires may be a bit too stiff even when aired down for some trail somewhere, but thus far I have been able to wheel on moderate and difficult trails alike without ever once thinking, "Gee, I wish I had C load rated tires instead." I have certainly not found sufficient downsides to my E load rated tires to justify getting rid of a perfectly good set of wheels and tires just to get some C load rated tires instead.
Bottom line, load rating is certainly a consideration, and given the choice a C or D load rated tire on a jeep is generally better matched to the weight of the rig than an E load rated tire, but it really isn't as big a deal for most jeepers as some would have us think.
Endnote:
When my current tires wear out I am likely to purchase new 17x9 wheels and 315/70R17 or 35x12.50R17 tires, many of which have a D load rating. I'm not going to lose any sleep over the limited availability of C load rated tires in those sizes.