As far as I'm aware, Hawkeye is yet to develop to the point where it can give a yes/no on killing the ball...
Irrelevant since Hawkeye is used for only one of the ten possible modes of dismissal.
An appeal is just a request to use the TMO, so there is no different or new technology involved. Limit appeals to just two unsuccessful requests per team and I cannot see any harm. Where the T03+ have missed something clear and obvious, I think its fair enough that someone bring that to the attention of the referee.
See the holding back of Savea in the opening minutes of the NZ v Argentina test last week.... a case where 30,000 people at the ground and a few million people on TV saw it (myself, and the three people I was watching it with all spotted it in real time, first time), yet somehow two officials (one of whom was just a couple of metres away) who were looking right at it managed to miss the clear and obvious.
If a referee's self-esteem is so fragile that he will have his
"confidence publicly shattered" if his decisions are questioned and then overturned then he has no business being a referee. Take a look at NRL some time. How often do referees nominate
"try" or
"no try" when going to the Video Ref, only to have their nomination overturned? Do they become
"ditheringly hesitant on other decisions" after this happens?