My mistake. They are 20s. Sidewall strength influences corning and handling, certainly. My tires are Goodyear Eagle Sports, which is a pretty good all-season tire. However, no all-season will match a proper summer performance tire, so I believe the point is a bit moot, so long as tire pressure is to spec. I'll admit mine is a little low, by about 3 PSI all around, due to the cooling weather, but this body roll issue has been needling at me for over a year. That said, I will get some more air in my tires today. I have personally experienced a big difference in handling at the "comfort" pressure vs. "normal" pressure. More to the point: body roll is the issue I'm trying to resolve, which in not affected by tire choice or pressure.
I get that you want to be sure I'm not some rich guy who thinks he bought a fast car, doesn't know how to drive it, and doesn't know the important factors in handling. I assure you, I do. I've run various cars at various tracks for the past 15 years, and have been autocrossing off and on for many of them. I have "graduated" from Bob Bondurant's high performance driving school, attended numerous HPDE days, and am certified solo for the track. I am no race car driver, but track driving was very much a hobby of mine until acquired the I-Pace (I didn't walk away from the hobby because of the I-Pace, but because the thrill was gone - so I sold my 911 and bought the Jag, which is obviously more family- off-road, and environmentally-friendly than a 911). I do, however, still like to drive. Very much so.
In the course of pursuing my track driving hobby, I had the suspensions of two cars professionally modified (An Audi S5, then an Audi S4). Track-friendly tires were of course critical. Suspension mods are a fairly ordinary modification to ICE cars running springs (rather than air), hence my question to the forum. In no way do I expect the Jag to handle like a sports car, sports coupe, or sports sedan. At the same time though, I've been perplexed by the track coverage of the I-Pace in the media, as my car feels like it wants to tip over on a fast sweeping on-ramp. I do think my car could handle better than it currently does, if only its body roll could be contained. Steering feedback is surprisingly good. Acceleration out of corners is of course other-worldly. It's just what the chassis is doing at turn-in and mid-corner that is frankly a bit scary.
Now that that's out of the way, advice regarding my original question would be most helpful. From others' responses, it appears that my suspension isn't behaving the way it should in "dynamic" mode. Thank you!