A few times now when coming into a roundabout or sharp corner on a wet road and hitting brakes the front wheels in my 2011 Mitsubishi Lancer have locked up and the car has skidded with no steering control. I have lost confidence in the car even under non-braking in the wet, as the front appears to lose grip going downhill. I have recently put new Dunlop tyres on, so I don't feel the tyres are the problem. I don't know if it is due to the fact I have 18-inch rims, or I am leaving it too late to brake. My kid is about to start driving this car and I don't wish her to have this problem when on her own.
With ABS braking the wheels shouldn't be locking under any circumstances. If the ABS is working correctly when you reach the point of lock-up you should be able to feel a pulsation through the brake pedal, which tells you the brakes are being applied and released automatically to keep the wheels from locking up and skidding. It sounds like the system is not working, and you should have it checked.