I am going to bet yes that is the case. My guess is that Lucid was packaging 2023 Touring and 2023 Pure AWD with the same motors and battery specs. The motor output is software limited in 2023 Pure AWD to differentiate from Touring. When Touring range was initially assessed EPA testing was more lenient. The 2023 Pure AWD range is 410. This is all speculative and I have no proof to these claims.
Personally I don't pay too much attention to the range number. For me the more impactful metric is how many miles can I drive between 20%-80% SOC and require a charge.