It's a different calibration.
You keep repeating that as if it's a fact but don't know whether or not it's true.
Everything is controlled by software these days. CA/NV/AZ for the longest time on many vehicles got its own calibration for tighter smog laws. Same models from year to year got different calibrations as manufacturers postured to different gas price pressures. Different nations get different calibrations for the same vehicle.
Irrelevant unless this somehow proves LX is different from LC.
A Lexus is going to get its own calibration by virtue of it being a Lexus tailored to different owner type. Even independent of if they used same/different octane.
100% speculation, not fact. If we were talking different engines or similar engines with different compression ratios you'd have a point, but the basis of this engine is the same across platforms and power figures are only .5% different. When you were tuning cars could you repeatably hit 0.5% margin of error? They MIGHT be different, and you seem to claim you know they are, but where's the proof?
I have several fuel and timing maps that I can flash onto my other cars. Octane and fuel type dependent. 4pts of octane is a huge gap in what it means for timing maps.
Relying on knock sensors to fine tune a vehicle is not what OEMs do. That's bad form, because knock is occuring. Knock sensors are used as a contingency for if there is knock. Not to fine tune vehicles for octane.
How is this pertinent to the discussion? No one is suggesting toyota tunes their vehicles via knock, but as you point out it is widely understood that most modern gasoline ECUs can respond to knock and they generally do that by pulling timing, which reduces power. That is why a before/after dyno comparison of RUG/Premium in a LX and especially compared to the same in a LC would actually bolster your assertion of different calibration.
Look, I'm not trying to be difficult. I've learned SO much on these forums and others over the years, and it has benefitted me greatly in the frankly ridiculous amount of car work I've done, as well as allow me to do what some people would consider stupid things on cars in my garage. ECU adapter harness for incorrect-year DSMLink ECU into an old eclipse. Toyota diesel swap into a 4runner. Replaced all the capacitors in that ECM when they started leaking. Then ditched the auto for a manual. Then swapped it to a mechanical pump. Vortec swap into my 80, including wideband based tuning. Multiple automatic to manual swaps in various cars. LOTS of other uncommon work. I did all of that trusting the info I was reading was factual. I have a particular disdain for speculation presented as fact, and that is why I keep pushing this issue.
LXs are no doubt awesome rigs, especially when you consider what you get compared to the money of a LC. But, if you put premium in it... eventually you haven't saved anything (yes we can go down a rabbit hole of hypothetical saved costs on suspension mods, but as an example my LC is still stock and is likely staying that way).
If it turns out, based on EVIDENCE, the calibration isn't different.. (and the engine being mechanically identical supports this
possibility) now they become even cheaper.
So if you are going to keep repeating "different calibrations" as a fact please support it with some evidence. Your beloved AHC will end up impressing even more people.