Yup. Terminology matters. There is no "toe down". Toe in or toe out is strictly the view looking down or up at the axle from a level plane. So toe in is a condition where the front of the wheels are closer to the centerline of the aircraft than the back of the wheels. Toe out is just the opposite. It's like looking down at your feet while standing. If your big toes angle in toward each other that is toe in (analogous to pigeon toed individual). If your big toes angle away from each other that is toe out. If your feet are perfectly parallel that is zero toe angle.
Camber (which is what I think you are calling "toe down"?) refers to the bowleggedness of your main landing gear when looking from in front of or behind the aircraft. Like the stereotypical horse riding cowboy, positive camber angle results in the outboard tread of the tires contacting the ground first. Then as weight is added and the gear flexes the camber angle reduces and the geometry allows the balance of the tread to contact the ground. This is why most aircraft show more wear on the outboard edges of the main gear tires and why people sometimes dismount, flip and remount their tires to even the wear and extend the life of the tires.
Here is a link to a good reference...