The P47 Hammerheads great in AH.
If you don't know how to do them they are not easy to figure out.
The most important part of a good HH starts with your upline. If you are asking what is the upline... The uppline starts the moment you pull vertical till you run out of momentum at the top.
As soon you pull vertical look at your wing tips and make sure they are even on the horizon giving you a nice strait line, if you are cocked one way or another, from the ground, the plane will look like it is sliding left or right instead of looking like you are going strait up.
Once you have established a nice upline hold it until you have lost most of your momentum. As you reach this point you will need to push forward on the stick a little to keep from falling on your back. Then kick hard left rudder and add right aileron. When the nose comes around you will need to stop the pendulum swing with opposite rudder at the bottom. Hold your down line and away you go.
If you have MSFS you can try a double hammer, as you pass through the first quarter of your HH, jam the stick forward and you will wrench around one more time. I have done it in MSFS in an S2B that I found on the net. Very cool.
I am hopefully going to get 20 hours in a real S2B come March so hopefully I will know what it's like for real eventually.

As for how well they are modeled the only thing I can say is it is better than AHI and as good as MSFS.
For a lumchavok, you pull into a hammerhead, and then near the top you push full forward with full left ailerons, and hit the right rudder. Once things look normal again, you recover. I have not been able to do these that well with the WWII planes but in MSFS in an Extra or Pitts they come out nice.