Omega seeks every road groove (Michelin 235er)

Hello, does anyone know the problem that their Omega Built. 2000, Km 40000, is following every track groove on the road? Worst of all on country roads, so that you are actually at the right turn all the time. Can this be on the tire- Michelin Pilot 235er or is this modest driving feeling with an Omega normal- so vehicle specific? For information I would be very grateful.