This is certainly the most risk averse, conventional take on the topic to keep you safe and avoid vulnerability.

That said, if you bring this opinion to your next job then you also won't really leave much room to build these connections at a personal level. My one suggestion would be to leave a BIT of room for vulnerability and caring about folks at a personal level - even if the company is secondary here. In the end, people matter and the relationships you build will be the thing that sustains you in your career.