Hello,
Hadr04 is a specific example where only neutron physics HP is activated. If you have interest to study full physics - use Hadr01.
Check on energy conservation is not a trivial one - you need to take into account several processes, for example, target atom de-excitation. Also note, that HP neutron models by default do not conserve energy event by event, only in average. If any non-HP reference Physics List is used then energy conservation is fine. It is well tested for each modification of the code.
VI