No it discusses arguments from probability in detail. Did you read past the bit you quote? The very next paragraphs:
Yes I did read them. Typically "sit-on-fence" stuff. The point is that science discusses probabilities of these constants coming into existence. They do not use the "they exist, therefore the probability that they exist is unity". The unity probability is the definition of an absolute truth.
The discussion opposing fine tuning so far is that "We exist - therefore the probability that the constants would be what they are is unity".
There are two problems with this statement.
Do we exist purely as physical beings, or do we exist purely in the mind of a Cosmic Intelligence?
If there is doubt, then the probability cannot be unity.
The second problem is that in science everything has a cause. When the constants came into being, why did they have "just the right values". Not just one constant but many?
Take the cosmological constant for example. This has to be precise to a very very large number. I seem to read that if it deviates by one part in 10 raised to the power 120 then the universe would either collapse or over-expand. The question to be asked is why that precise number and not a slight deviation.
Keep in mind two problems. Firstly, dark energy and dark matter, what are they apart from scientific fantasy? The unicorns of science.
Secondly, atheist science is so worried about the fine tuning that it has invented another fantasy, namely gazillions of universes so that the law of large numbers can be used in argument.
So how fanciful is my Cosmic Intelligence compared to the fantasies mentioned? At least I have some personal evidence. Atheists only have desperate musings.
As for the fall-back retort of "No-one can Know therefore you cannot Know" is another meaningless fall-back defense. We are talking about probability of one hypothesis versus another for the Ultimate Reality. You say I have NO evidence. Rubbish, I have evidence, but not the evidence atheists are prepared to accept.