There are many interpretations -or definitions if you will- of the term bare awareness. My interpretation of it is very literal; the stage in meditation where there seems to be only awareness. So there is only awareness of awareness, not itching or any breath or whatever. In anapanasati, the breath has disappeared from awareness. But not everybody uses the term like this, so whatever answer you get depends on who you're asking.
But reading the suttas (I may have missed it, and am not aware of all interpretations) I never got across such a term. So the importance of 'bare awareness' may be doubted. In any way, samma samadhi, right concentration, is defined by the jhanas, not by 'bare awareness'.
My understanding is that bare awareness as I use the term and as you seem to use it, is both not jhana.