Complete nonsense.
That's realistic. ABS works per-wheel.
Er... Is that not contradicting yourself? If ABS works on individual wheels, then by braking one wheel more than another, it would stop a car spinning if one side of the car was on a low-friction surface and the other side had more grip. If it applied the same amount of braking on the right and left wheel, then there would be a yaw effect which would spin the car. I therefore conclude that by ABS braking each wheel according to the grip it has, it stops cars from spinning.
As for the list of points:
Drivetrain layout: A mid engined car is easier to spin than an FR car because the centre of mass in the car is in the middle (engine being the heaviest part), but in an FR it's in the front... It's a lot harder to explain than I've just realised, but the order of ease of control (in a basic sense) goes like this:
Front engine, front wheel drive
Front engine, all wheel drive
Front engine, rear wheel drive
Mid engine, all wheel drive
Rear engine, all wheel drive
Mid engine, rear wheel drive
Rear engine, rear wheel drive.
At least that's the way I see it. I put mid-all under FR because of the lift-off oversteer being greatly magnified by the mid engine placement.
Tires, it's reasonable to believe that the hardness of the compound doesn't really matter, but the type of tire does; slicks only work on tarmac. Not sure how well PD have modelled the different tread types, though.
Speed is obvious, but also torque; the higher the torque the car has, the easier the wheels will spin on a low-friction surface. If you put a high torque car on grass it'll be pretty difficult to control... That said, if you have a high torque car with massive turbo lag, it'll probably be relatively easy because the engine will have no shove at 'oh no, I'm on the grass' speeds.
Angle; the higher your angle, the harder it will be to control, same as being on tarmac. Accelerating in a straight line is easier than accelerating around a corner, same rules apply to grass.
LSD settings are something I know very little about.
Downforce matters in that it effectively increases the weight of your car, so if you leave the road at high speed you'll be pushed into the grass much harder than if you have no downforce. This increases the grip you have. Pretty straightforward, really. However, downforce only really makes a difference at speed, if you come off the track and stop, it'll be just as bad as a car with low downforce.
Finally, the accelerating/braking/neither thing. If you're making the tyres stop or accelerate the car, they will struggle on a low grip surface. If you're braking they'll lock up and lose grip, if you're accelerating they'll spin and you'll lose grip. Best thing to do if you know you're heading for the grass is probably to brake, but stop braking before you hit the grass otherwise you'll have absolutely no control. By touching neither 'pedal', your tyres will only be trying to turn the car, not accelerate/brake it as well, and will therefore cope better at not making you spin... Ish.