If "Fools rush in where angels fear to tread" and "He who hesitates is lost", then should we put our full belief into sayings? These maxims are used as general guidelines, not overwhelming controlling principals.
When a battle comes between following a maxim blindly or common sense, I say we should opt for common sense. However that is a maxim too, so don't take it too seriously.
After all, common sense isn't as common as it sounds.