There are four foundations of mindfulness, why limit the mind to a very small part of our experience?
True, and the answer is not in the breath it’s in the awareness.
The point of awareness though, as I understand it, is that it is non-discrimantory it is aware of whatever is appropriate to be aware of at the time, it’s not focussed on one object at the exclusion of others.
One doesn’t progress on the path by developing breathing, one progresses by developing awareness among other things..
I really don’t see the difference between “converging on” and "placing ones awareness on”, perhaps the former is effortless whereas the latter is with effort, is this what you mean?
Why get wound up about the breathing at all? if one technique is not really working for you then use a different technique.
However if one does choose the breath as the primary object then for most people there will be a period where you have to deliberately keep placing awareness on the breath before this becomes easy and natural..
Looking at the title of this thread I’m a bit confused how it came to be about one specific meditation technique.