Yes, SUVs need a bigger dimension tyre. They also need tyres that are specially designed for the weight of a SUV. They will have a higher load capacity than a passenger car tyre. You will also need SUV winter tyres if you have winter conditions present during the year. It is not safe to drive with SUV tyres that are not approved for winter conditions, even though they might look rugged enough to handle winter weather. The rubber compound in the winter tyre, for example, is different than in the summer tyre and it remains soft and flexible even at low temperatures, where a summer tyre will become hard and stiff. In winter, a summer tyre cannot provide the necessary traction that you need to be able to drive and stop your vehicle.
Good tyres can improve the performance of your SUV. If you have a sporty SUV with a lot of power under the hood, you should get matching tyres for it. High performing tyres that are good at high speed will give you the optimal control over your vehicle. Choose tyres that allow your SUV to be very responsive even at high speeds and will have a short braking distance in case you need to get your SUV to a halt. Good high quality SUV summer tyres will be able to handle wet roads better than cheaper low quality tyres. They can help prevent aquaplaning through innovations that can better move the water away from the surface to ensure that the tyre will remain in contact with the road surface. If contact is lost, the tyre will float on top of the water layer and you will lose all the control over the vehicle. Aquaplaning is very dangerous and can lead to accidents, so it is important to consider this when you select SUV summer tyres.
Cheap low quality tyres wear faster and usually have a higher rolling resistance, which will increase your fuel bills. Both these factors will increase your overall costs of owning your SUV. You can though have similar effect if you have good tyres with wrong air pressure in them. It is important to monitor the tyre pressure regularly as it impacts the driving performance and can add costs to your driving in terms of fuel and shorter tire life.