Don't know where protective comes into the equation; six definitions from a wide variety of references all say that free trade excludes the use of tariffs - the reason for the usage is moot.
So you tell me - what source do you have that says tariffs are a sign of free trade?
That was explicit language in definitions that you just posted posted.
Are you contending that all tariffs are "protective"? Or are you just playing fast and loose with your rationalizations?