In a very basic nutshell, simply lowering a car usually worsens the handling.
It may feel like it rolls less, but the negative effects often mean you lose desirable features.
There is a point, when a low center of gravity is outweighed by the rest of the geometry angles being too far out to function correctly. The COG is very different to the roll center height, but they are related and act upon each other.
The most common thing is springs, on standard dampers. If you are lucky, you might actually invest in camber arms / bolts and a geo.
Springs with oem dampers and a full geo are ok. At least you are correcting the camber and toe changes you get when you lower the car.
If you dont get a geo (with arms and bolts or its almost pointless) you will be running the run settings for anything to really work remotely well. So you have a lower car, but worse handling. Fine for average road use, it looks lower.
Even with springs, arms and geo. You still suffer multiple side effects. The angle of the bottom arm changes. The angle of the steering arm changes. So the angles Honda spent £££ on, to achieve great handling, have just been ruined by some monkey who lowered his car.
In comes extended ball joints which aim to correct the lower arm angle. Rack risers, which aim to correct the steering arm angle.
A simple excercise...
Put your elbows out to your side, hands in front of your chest. Your hands are the inner pivots of the lower arms, mounted to the subframe. Your elbows are the hubs / wheels. Keep your hands still, as the subframe is an unsprung component, its fixed. Now raise your elbows. This is what you do when you lower the car.
Honda wanted those arms to be at a specific angle, or range of angles during use. The same principal applies to the steering arms, these also move in relation. Again, Honda have a desired range of operation.
So...
A car with just springs will be worse handling. Regardless of what its drivers butt dyno tells you.
A car with springs and a geo (bolts and arms), will fair better, but the angles will still be incorrect. If not too low, they may not be too bad.
A car with springs, extended ball joints, rack riser, geo should handle better than stock. As its actually making use of the lower COG, and has its angles corrected. Now this isnt to say its perfect, i doubt the angles will be exactly as stock. But its the best option you have.
Ideally, shorter dampers would be used. As the oem ones will now be running on a reduced compression stroke, due to a lower car limiting to travel. Again, if not too low, the effects arent so bad.
Suspension is a dark art. Most people have little to no understanding of it. Other than low looks good. Im far from expert, but I dabble