Nah, I don't think the fine distinctions will make a lot of difference to students (but they do know what a grad student is!) Mostly I am careful so as not to disrespect the actual faculty. There is a lot of hard work between me and a tenure-track job...completing and defending my dissertation, going on the job search, interviewing, and being chosen for the job. Plus, I don't teach at a small community college, bit a major research institution, so telling someone that I landed a job HERE is especially far from the truth.