That's why "the exception proves the rule" in its logical application, provides support for the "no absolutes" rule. Even the "rule" is relative.
Because there is no real objectivism (as you have so aptly pointed out in your example, everything is mired in opinion or POV) everything is relative to the eye of the beholder.
A classic example of this is "1 +1" theory: To a mathematician, 1 +1=2, but to a farmer, when pairing up animals 1 + 1, may equal 3 or 4 new animals.
So in their relative application, is either wrong?
Absolutisms cannot be proven correct.
Take the example posted by my friend above here:
"Andrew Miller is a stinky Major League Pitcher": To some, the fact that he is a Major League player signifies that he's "good enough" to be a Major Leaguer, ergo, not "stinky".That is their viewpoint, and you may see it as flawed, but is it wrong?
As for left-handed example, is it physically impossible for him to throw right-handed? If it isn't (and it isnt') then that's also a relative truth.
I will admit, that if there's a sound argument to counteract the "no absolutes" theory is the Logical Absolutes theory, and their usual example of "something cannot bring itself into existence", but then again, even that is debatable because of the uncertainty regarding the creation of the universe.
The law of non-contradition, however, seems a lot more applicable to the situation, given that the multiple POV aspect of Non-absolutism seems to contradict that ule.