Considering Lamellar armor is just scale mail over leather, I don't really think it's all that.
For one thing, if it was, why would we have ever switched to full plate, or the japanese samurai wear tosei gusoku?
Then again, you haven't added field plate or anything to the list, and I'm not entirely sure what japanese armor would count as.
Japanese armor caught arrows in silk folds, and was quite good at what it did; the japanese have always been good at innovation.
European full plate led to knights returning from the Crusades, or from battles in the Crusades, looking like pincushions, because the arrows simply could not truly penetrate, even from the powerful recurved bows(longbows were not used because they could punch through full plate; they were used because they were able to punch through chainmail, a feat many bows could not replicate, to injure knights in the less armored parts of the body; heavy crossbows were the things capable of shearing through steel like butter).
Thermopylae was as much a matter of terrain as anything else, and the skill of the Spartans involved. The shield is certainly quite amazing, but the armor is not as amazing as one might think.
But maybe I'm thinking of something different from what you are. I'm thinking of
this lamellar armor. Which doesn't have a second covering over it.
Does lamellar armor as you are thinking of protect every part of the body?
Also, 4 ballistic soak is frankly ridiculous; ballistic damage, as far as I'm aware, is basically bullets. Having 2 higher soak than anything else on the list like that makes me feel that you are less than unbiased. For that matter, judging by my knowledge of lamellar, 4 piercing soak is fairly incredulous too; a warpick like rurail holds is piercing too, remember, as is a ballista bolt(unless it's ballistic in which case idfk)
So no, it wasn't the absolute best. If it was, we would have used it instead of full plate; obviously it was around in europe, if the greeks used it. It's not like it never reached that continent. It might be best at stopping attacks that actually hit it, but if it doesn't cover everywhere, or has large, easily reachable weak points? Well...