My comments about Earth and life are analogies, not about life itself. The argument of CNS is in essence, an argument that the values of the constants are they way they are which is deduced deduced from characteristics universe has particular characteristics, rather than the more plausible argument that the universe has the particular characteristics that it does as a result of the values of the fundamental constants.
The "why are the fundamental constants the way they are" question only makes sense if indeed the constants are in fact not fundamental. If they are truly fundamental constants, then it is equivalent to asking: "Why isn't the color green the color blue?" or "Why isn't 17 equal to 12?" It isn't a question of a "testable theory", it is a question of whether the question is anything other than nonsense. How do you empirically falsify 17 is not equal to 12 when it is evident on the face of the question?
Now, there are several kinds of non-fundamental constants. One kind of non-fundamental constant is a derived constant. For example, you could have a constant called the "sphere volume constant", but rather than making 4.1887790205 another number that everyone must memorize, we find it convenient to call the transendental number pi equal to roughly 3.14159265 . . . fundamental, and to call the volume of a sphere 4/3pir^3. There is good reason to believe that many constants that are now viewed as fundamental for lack of a good alternative and determined empirically, like higher order quark and lepton masses, are probably really derived constants whose formula we are still working on determining (although some very clever suggestions have been made:
https://www.physicsforums.com/showthread.php?t=67134).
There are also constants which are emergent from a physical system. For example, the 9.8 N/m^2 figure for gravity on Earth flows from the mass and shape of the Earth and the universal law of gravity (or GR if you prefer).
The Machian view is that more constants than one might suspect are emergent rather than truly fundamental.
But, the notion that the activities that take place in a black hole change "fundamental constants" just doesn't have any support. And, you can't do experiments that involve counterfactual situations. We can't, for example, do an experiment in which the speed of light is 3c.
The PREMISE that our universe expanded from a gravitational collapse in some other universe is simply that: a premise of the theory. It has recently gained some credence from the theoretical studies of BH collapse (as in gr-qc/0503041). But the fact that the premise has become more credible recently is not essential. The premise does not have to be shown. With a scientific theory what one is supposed to do is look at the predictions and test them.
If I choose as my premise that the Moon is made out of green cheese, one can develop quite a weird cosmology involving extraterrestial cows and cheese makers. But, it doesn't mean much. Also, CNS has two premises, neither of which are proven or plausible. One is that black holes in one universes create different universes that are elsewhere. (Note that it is one thing so say that the big bang flows from the collapse of a black hole, and another to say that the big bang flows from the collapse of a balck hole
in a different universe, there is theoretical support and empirical data to back up related ideas -- there is no evidence for the existence of any other universe, however). The other, far more radical theory, is that blacks holes have a mechanism which change fundamental constants. There is no evidence whatsoever for any instance in which fundamental constants have every been changed. Extraordinary claims require extraordinary proof.