From the same web page:
“In all states, however, if the unarmed attack is of such ferocity that it nevertheless raises a reasonable fear of death or grave bodily harm, the use of deadly force in self defense would be justified.”
It does.. but I guess you aren’t understanding that you LOSE the right if you are the aggressor ***UNLESS*** you gain it back.
And there are ways listed to gain it back or in other words RECOVER
Maybe this will help
“As previously mentioned, it is is possible that the State will argue that Zimmerman was the initial aggressor. As the aggressor he would not be eligible to argue self-defense unless he first recovered his innocence. A condition to recovering innocence is that you have exhausted every reasonable means to escape or that you withdraw from physical contact with the assailant. (An alternative means of recovering innocence comes into play when the aggressors non-deadly attack is countered by a deadly-force attack.)