Mondeo Bj. 96 Kind of funny to steer….

With my 96-Mondeo I noticed the following problem when driving. If I drive straight ahead, there is a car pulling in all directions somehow. This is as if the vehicle would lose contact to the road. Especially in right curves the problem is there. An axle measurement as well as a tyre change (on new winter tires) brought hardly an improvement……. Is this normal with a car of this size with this age on the hump ?? Had an old Seat Cordoba before and not such Problems… .. Greetings, Uli