OK - and now to the question originally posed - Cross-over vs Sedan tires! And while I am at it, I'll address SUV tires.
On every vehicle, there is a vehicle tire placard that lists the original tire size and the proper pressure for that size - on that vehicle. It doesn't matter who makes that tire, that pressure is appropriate for the vehicle - beacuse tire sizing is standardized worldwide. There is a slight difference in the 3 main sizng systems, but the differences are SLIGHT. For practical purposes, they can be considered the same.
Yes, different tires can result in a different feel. Some will be designed for a softer ride, while others will be designed for crisper handling, but that is a function of the tire itself. While changing the inflation pressure can change the way a vehicle feels, this is NOT an indication that the pressure listed on the placard isn't correct.
If you were to group tire sizes by the application - say sizes used on sedans vs ones used on cross-overs, vs ones used on SUV's, you'd find that there is very little overlap. SUV's tend to use higher aspect ratios, cross-overs use slight lower aspect ratios, and sedans, lower still - again, with very little overlap.
Tire manufacturers can sort this all out by using a reference such as Tire Guides, that summarizes the tire size by vehicle.
Will tire manufacturers tune their tires to these applications? Somewhat, but because the tire size is different, it naturally sorts itself out.
Some tire manufacturers will advertise a certain tire line as being for cross-overs or for SUV's, but that is more advertising hype than anything else.
So if you are looking for a tire for your vehicle, I'd advise you NOT to pay much attention to that sort of advertising hype.
