The circle is a nice example where there is a simple analytical relationship between the radius and the circumference (1:2pi). Other basic shapes, like the ellipse, have no such simple relationship, even in pure maths. And when performing the experiment you mentioned, the strings are very unlikely to be in 1:2pi ratio, they will be within some range of that ratio.
The universe has some set of independent initial parameters. Whether they are the ones we know or there are some other, more fundamental ones, ultimately some parameters are there.
Even with a single fundamental parameter, that parameter will have some range within which variations in value don't affect the universe at all (like the 1/g64 example), and some range where changes in them would lead to a very different universe, potentially one that can't sustain life.
This idea of "probability" of the observed values of these parameters is then meaningless. What is the probability distribution of the "universes"? To say that the "fine tuned" universe is "unlikely" you have to posit a probability distribution, but there is no empirical data to then verify if this distribution is correct, and, crucially, there can never be such empirical data.
You might as well ask yourself why the universe is four-dimensional (or 11-dimensional) and not 2-dimensional.