Just a thought, to date,on all the aircraft in which I have travelled the Captain has introduced him/herself and given a little pre-flight information - usually about him/herself, Bloggs the FO and the Cabin Crew. Might it not be an idea if a short announcement was included along the lines of "In the extremely unlikely event of a problem arising be assured that I & my FO will deal with that first then, when all is resolved, tell you what has happened and if necessary, what we intend to do next" (continue, diversion)?