I'll add my opinion here having just had the 'opportunity' to drive all three options almost back to back. My MY20 on air with 22" wheels suddenly refused to charge and so I spent a few weeks in a coil-sprung loan car with 20" wheels followed by two weeks with the original and now replaced by a new MY22 with air and adaptive suspension on 20". I then managed a 1000-mile week in the new one.
I live in Dorset, so plenty of rural roads, some great open-sighted drivers roads and a long way from anywhere that I need to go for business! I also live at the end of a rutted unmade lane. Oddly, even though I can raise the car for the home lane I didn't because the suspension runs out of travel and made the ride less comfortable.
The difference between the coil and the air (without AD) is subtle and to me is mainly that the air suspension seems to take the 'edge' off sharp shocks making the coil car seem a little harder but which is probably more of a function of the spring compression than it is of the damping. (The difference might be more noticeable but remember that my original car was fitted with 22" wheels).
The new car, when collected from the dealer, seemed to be very sensitive and tense. Delving into the menu revealed that the Active Dynamics was set up for a hard ride, sporty steering and hair-trigger throttle. The steering and throttle are much the same as driving the standard car in Dynamic mode. Duly set to comfort and long-distance commute mode returned.
On my home lane, the AD car is more compliant and smoother riding noticeably so. On normal roads (non-dynamic), and normal driving there is no discernable difference and if I only ever had a coil-sprung car I would be quite satisfied. When making progress then I think the active suspension car probably has the edge even over a standard air suspension car but as I am no Matt Becker (Lotus/Aston handling guru) I cannot analyse what specifically that is. Suffice to say the only real way would be to put the cars back to back on a track where you could push to the absolute limit.
Finally, to put this into context, I used to compete in tarmac rallying and have had a few must-have cars along the way (jealous of Electric Beagle as never a GT-R) which include Integrale, Guilia Quadrifoglio and RS4 (2018) and MX5 track car. I would say that point-to-point that the Jaguar is as quick as the RS4, more comfortable than the RS4, quieter (!) than the RS4 but has to stop for refuelling sooner (just).
Where the air suspension really wins is in the parked car stakes, so much better looking when in access mode
