Why law of floatation is called the special condition of Archimedes principle

Archimedes principle: volume of water displaced by immersed object is equal to volume of water.

so if two object has same volume but different mass

then density determines the flotation of object,if an object has more density than water then it sinks.

I think this is called as special condition of floatation.

in simple terms, the principle states that the buoyancy force on an object is equal to the weight of the fluid displaced by the object, or the density of the fluid multiplied by the submerged volume times the gravitational acceleration, g. this is also known as upthrust.