Yep, my school is like this, and as a teacher I can say it works a treat to get the pupils in line from day one, understanding our expectations - we are a stand alone grammar, not part of a wider MAT.
We have "press button" detentions, meaning if I, as teacher get a child falling short of expectations it is simply a matter of hitting a key on the register and they are in detention, I don't have to worry about staffing that, they are run 3 times a week, pupil just ends up in the next one.
We also have a zero communication with parents on complaints around discipline, we will happily help the parents to enable the children to meet our standards, but no one, up to the head, will even reply to a complaint to the effect of "my child didn't deserve.." etc.
The first couple of weeks are a bit of a shock for some year 7s, but after that they settle in to what is a very happy school, with loads of fun extra curricular activity - by being firm and having a line that is clear, we have very little discipline problems.