I've never flown a Tiger Moth, I have heard some experienced pilots say it's unpleasant to fly, I've certainly never however heard any of them describe it as dangerous.
W.R.T. Austers - excellent aeroplane with a definite requirement to fly it well, at the right speeds and attitudes, manage the aircraft and use your feet. My only issues with them are the prodigious fuel consumption, and the tendency to cause permanent hearing damage.
I've never bounced one yet, but I did fly it exactly as per the old military pilots notes, which I think a lot of people don't do, tending to be frightened by the lack of stall warning and sluggish controls at low speed, so overspeed it on approach.
G