Yes, this last bit, (The idea that the odds needn't be improbable at all). So, instead of arguing for fine tuning, we could say that we do not know why the forces are such that the universe appears fine tuned. This is very different than saying the universe was likely fine tuned, or is fine tuned. Now pardon the foray into sci-fi but: if, for example, some theory came out wherein observation by life collapsed the wave function forcing the constants that we now observe to be the constants, than this, though begging the question, would limit the probability of any constant to that which could sustain life. Thus, any possible universe would be one that appeared fine tuned. Now I suppose one could ask about the probability of a wave function collapsing once observed, but I imagine an answer limiting the probablilty of that could be formed as well.
So, my point is sure we can use catchy phrases like "fine tuned" but what do such phrases mean when they are only comparisons to other imagined universes when we do not know all the constraints that should be employed on imagining a universe. While I can understand the concept of imagining conditions for humans on planets, the idea of imagining that strong or weak force could be any other variable seems pertinent for understanding why strong and weak force are that which they are, not for any broad statement regarding the fine tuning of our universe.