What types of compatibility are there?

This is true. In the case of backward compatibility newer versions of a network good are compatible with older versions but not the other way around.

This is true. If two network goods are fully compatible then both can be operated on the same standard.

This is correct. Products are partially compatible if they are interoperable, but using complementary goods like software designed for the other product implies a decrease in performance.

This is correct. Two products are one-way compatible if the standard of the one product also allows to use the second product but not the other way around.