You just created a new definition that no dictionary has. Sacrifice is certainly a deed we associate with love, but not love itself.
Thus, your sweeping generalization, in my opinion, is not only incorrect, but could be misleading because any and every sactrifice is not love.
You're WRONG.. I once knew a young man that loved his CAR.. another that loved his DOG, and yet another that loved an IDEA..
The English word love is nebulous, sacrifice is specific..
In other languages the love word is the result of sacrifice.. same thing..
Sacrifice don't prove love, sacrifice IS LOVE..