Yes, this problem can cause not only an accident but also a banal acceleration of tire wear both in winter and in summer. I'm not an auto mechanic and I can't be sure everything will be perfect. My car is not new anymore, it is 5 years old. I don't have any major service issues now. However, I decided that it is not worth saving on tires. I prefer to order tires from all-weather tires catalog -
https://tireplanet.ca/all-weather-tires Good tires make handling softer and more controlled and I'm glad I have that confidence now.