Alfred reacts with calm efficiency. He quickly assesses Batman's injuries and starts to take care of them. He doesn't panic because he knows Batman needs him to be strong.
Alfred Pennyworth was a former British SAS agent. He became Bruce Wayne's butler and surrogate father figure. He was there to take care of Wayne Manor and also to look after Bruce. Alfred had military training which he often used to assist Batman in various ways, like patching up his wounds and providing technical and strategic advice.
Sure was. Batman Beyond was indeed a comic that explored the adventures of a new Batman in a dystopian future. It had unique storylines and art styles that attracted many fans.
One reason could be Bruce's increasing isolation. Alfred sees Bruce pushing away friends and allies in the fanfic. This makes Alfred disappointed because he knows that Batman needs a support system. Without it, Bruce is more likely to burn out or make hasty decisions that could have been avoided with some input from others.
Maybe Alfred is disappointed because Bruce in the fanfic makes some unwise decisions as Batman. For example, he might take excessive risks that could endanger his life or the safety of Gotham in a way that goes against Alfred's advice.
Another form of punishment could be emotional. Alfred might give Bruce the cold shoulder, refusing to offer his usual words of wisdom or emotional support. This would make Bruce feel isolated and force him to reflect on his actions.
One possible reason could be that Bruce is being too reckless in his Batman activities. Alfred, being the caretaker, might see Bruce endangering himself unnecessarily and decides to punish him to make him more cautious.