Given that the center of gravity is staying put in the vehicle, the question then becomes whether you want the force-based roll center to move around, and that's going to depend on the design of the suspension.
The only way it isn't going to move around some, is if the design of the suspension mechanically forbids it. Pure trailing arms. Semi-trailing arms. Swing axles (you're going to have other problems). Beam axle with panhard rod (you're going to have other problems). None of those suspension designs are appropriate for the type of vehicle that you are talking about.
For the type of vehicle that you are talking about, upper-and-lower-wishbone and more-or-less equivalent multi-link layouts are standard fare.
All of these are going to have the roll centers move around some due to the angles of the links changing with suspension movement. But, unless you've done something inappropriate in the design (links too short relative to expected suspension movement, etc) it's going to be neither here nor there compared to what else is going on.
BMW and Porsche commonly use MacPherson front suspension, and those have instant-centers that move all over the place, especially in rebound (extension). But ... what it does in extension is largely irrelevant because that's the inside front wheel, which is carrying scarcely any load during cornering, so who cares?
You don't want instant-centers high off the ground, to avoid having the car trip over its own swing axles. Hark, the Herald axles swing! Ralph Nader, you called? If the instant-centers are appropriately low, but not necessarily at ground level, it follows that they're also not going to be moving around much under the circumstances that matter. (Who cares what the inside front does?)
Focus on other stuff. Get the camber gain in compression right but balance that against caster change with suspension movement. Get the caster right. Get the roll-steer and bump-steer right. Get it so that there are not excessive changes in camber, caster, etc with suspension movement. If you do all that then the instant-centers will also not be doing anything extreme in the situations where it matters.