I'm not going to say there's a right or wrong for tires, even as I have my preferences. Tires more than anything has lots of trades, pros, cons, and a spectrum of qualities. Even between qualities, there's parameters than can be adjusted like tire size, pressure, etc. to compensate for other qualities. Pressure compensating for tire sidewall stiffness. Narrows compensating for weight or decreased efficiency of ATs.
Nothing wrong with a P-metric tire. That's what Toyota/Lexus fitted. Whether that works as expected for the individual, is another question, with its own possible subjective qualities.
In general, any AT tire, regardless of type, is going to be more robust and durable than HT tires. Which is to say in the spectrum of tire type: HT < AT < RT < MT. A Toyo AT3 P-metric tire is going to definitely gain that advantage over stock HTs. I think the AT3 P-metric is a great tire, albeit middling in the spectrum of AT tires. As good as the Toyo is, in general, any AT tires will trade some degree of NVH, efficiency, etc. to an OE highway tire. No doubt, there's real and objective differences, perhaps less in P-metric than say LT/Floatation, but I think some of this discussion has been in regards to the degree of advantage, and whether it's enough. Which mixes in subjectivity, but is for the individual to decide.
Not unique to the AT3, every model tire, including HTs, has a spectrum of aggressiveness. That's sizing, load, and construction type: P-metric, P-metric XL, LT-C through LT-E, Floatation. That's a generalization too as specific sizing may have load and construction differences.
One thing I'll say is there's a disparate focus on tire weight. It's not a primary factor for rolling efficiency that it's being made out to be.
Argue on...