Because every instance of the subclass still needs to be a valid instance of the base class (see Liskov substitution principle).
If the subclass suddenly has lost one property of the base class (namely a public method for example) then it would no longer be a valid substitute for the base class.
与恶龙缠斗过久,自身亦成为恶龙;凝视深渊过久,深渊将回以凝视…