While I agree with
@momo3605's "empirical observations" vis-a-vis, Lucid's efficiency drop-off at higher seems greater than Rivian's, @Andillinen's comments RE: physics applies to both is also correct. That said, there are other relevant factors:
[1] as I mentioned. Rivian's "Conserve Mode" in its quad motor power train and the "all-purpose mode" (see below) in the dual motor version provide additional efficiency improvements. My quad-motor "Conserve Mode" adds about 25-mile range, which is an 8% improvement from the baseline. I have no data on the dual motor's "all-purpose mode". It shows Rivian is aware of the range-anxieties and has implemented improvement modes. I am unaware of equivalent "range-extending" modes in the Lucid. I always drive my long trips in Lucid's "Smooth" mode. Not sure what others on this forum do. You don't need the exaggerated modes to do 80 mph on the highway!
[2] (without data) I think many Lucid owners love the thrill of the acceleration ability of the car. As such, they are "lead-footed" in how they drive, i.e., for the thrill of it! Such behavior is probably not friendly when it comes to efficiency and range.
In short, I think Rivian is more conservative in its range specification and implemented modes/algorithms to maximize their efficiency. Not sure if Lucid (the car company and the drivers) has these genes in their DNA.
For both the Lucid and the Rivian (large pack), I don't see their achievable efficiencies as "range anxiety" per se. Doing most of my driving along I-10 and I-5, I seldom encounter freezing weather and there are plenty of charging stations along the route. With careful planning, I don't worry about getting stranded. My main objective is to minimize the number of charging stops. I am comfortable going below 10% SoC before I charge, as long as I know there are chargers en route.
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GreenCarReport's description of the dual-motor R1S's "all-purpose mode"
Unlike the Quad-Motor setup, the Rivian Dual-Motor does not have a Conserve mode. Instead, the default All-Purpose mode decouples the rear axle to run as a front-wheel-drive truck for greater efficiency in most scenarios. But the rear axle powers on-demand as well, not just with a button push