If I am not mistaken, Lucid did plan to use Air Suspension for the Air but did not like the Elliptical hystereses behavior of Air Suspension.
Lucid was originally planning to use an air suspension and, during development of the car, actually posted a job opening for a head of air suspension engineering. I've heard varying stories of why they did not go forward, including a claim from a Design Studio employee that the component vendor was so tied up working with Rivian that Lucid was getting short shrift. (I don't know if that actually makes any sense, though.)
Hysteresis simply means that there is non-linearity and lag in the response of a system to changes in its inputs. An air suspension is particularly vulnerable to this effect, for several reasons: the varying temperature and compressibility of the air; the expansion/contraction characteristics of the rubber bladder containing the pressurized air; the different demands on the air pump during raising and lowering the load;
etc.
Air suspension behavior is more tricky to model accurately than coil spring behavior, and coil springs can thus be engineered more predictably than air springs.
A study by a major trucking logistics company found that air suspensions responded more slowly to changes in road conditions than coil spring suspensions, actually resulting (rather counter-intuitively in my amateur view) in less damage to freight when using coil springs.
Air springs first came into use in the 1930's because coil springs could not handle the weight of airplanes. They later became attractive to car manufacturers for their ability to level loads and keep things such as headlights aimed straight ahead. With the advance of electronics, car makers started using them to alter suspension firmness independently at each corner of the vehicle in real-time response to changing road conditions, thus allowing a soft suspension to firm up locally.
I can't cite a single source for all of the above points, as they're just an assemblage of what I learned when I dove into these waters a couple of years ago when I was surprised and frustrated at Lucid's backing away from an air suspension. (As I'm no engineer, I also can't guarantee that I have understood all of these points properly.)
What I can be sure of is this:
The three Audi R8's I owned all used coil spring / semi-active damper setups (like Lucid's) at a time when less expensive cars in the Audi lineup were using air suspensions. The R8's combined stunning handling with a surprinsly compliant ride for that class of car.
Race cars, where cost is no object and suspension setups are critical for safety and success, generally use coil spring suspensions instead of air suspensions.
After owning two Tesla Model S's with air suspensions (2015 and 2021 models), the Air outguns them both in handling and ride compliance.
So, at the end of the day, I'm entirely at peace with Lucid's choice -- for whatever reasons -- of a coil spring setup for the Air. (Of course, in Florida I don't have to worry about steep driveways.)