Arnav is not in the right frame of mind to think logically here, right now he is hurting and he is furious. We got a glimpse of what is going through his mind as he had flashbacks of his time with Khushi, to what he saw, and Shyam's words permanently stuck in his head. Its all too overwhelming for him right now so he is reacting the only way he knows how, by lashing out and wreaking havoc. Arnav really had no idea the impact his actions would have on Khushi's life, it is slowly becoming known to him with each passing episode.
Even though a lot of damage is being done, I can still see the CVs repairing Arnav and Khushi's relationship. Once Khushi knows the truth she will have a better understanding of Arnav's actions and will be more likely to forgive him, just hope she doesn't forgive him too fast. I look forward to him trying to win her back, don't want it to come easy for him.