Recently, I've observed a trend targeting the founders of groundbreaking technological ideas whose identities remain unknown. Reflecting on this, I believe that had Satoshi Nakamoto, the creator of Bitcoin, been apprehended in 2013 during Bitcoin's early rise to popularity, it could have spelled the demise of the entire cryptocurrency movement. Without Satoshi's innovation, Ethereum may never have been conceived, and countless individuals might never have ventured into the realm of cryptocurrency investment.
I am of the opinion that if or assuming satoshi was arrested when you stipulated (2013), bitcoin would have still survived. The reason I said this is because, bitcoin was not centralized and later on became decentralized. It was just decentralized and open source protocol code from day one. Even in the absence of satoshi 4 years after creating the Bitcoin, there would have been many people to further the journey of Bitcoin as of then.
Again, in as much as satoshi already sent email to some developers and released the Bitcoin white paper where he pened down all his ideas and the working principle of Bitcoin, people would have soldiered on from there and bitcoin would still exist. Although there would actually have been some controversies but bitcoin would have eventually find his way to succeed. The biggest advantage of Bitcoin which is the reason it wasn't aborted in its early stage is not the disappearance of satoshi, rather the decentralization of Bitcoin.