We don't want to talk about extreme hunting conditions, where in all cases the bolt action rifles are far superior to the break action rifles in terms of reliability. In Africa, hunting is no longer conducted under extreme conditions. In the evening, you are sitting at a bar after a shower and not lying in a sleeping bag with your rifle outside of your tent in snow and ice or lying at your side in the dampness.
When it comes to the break actions, one should not confuse boxlock and sidelock actions. If a boxlock action fails, not much else works. In general, anyone who has looking inside of a simple classic break action, like an Anson & Deeley action for example, can hardly claim that such actions are far superior to a Mauser 98 action in term of reliability.