Botnet infections occur primarily through one of two ways: Vulnerable devices exposed directly to the Internet, or app downloads and installs on persons computing devices.
The TV box appears to be a rare hardware version of convincing someone to bring something into their network that compromises it. Usually it’s a software package that they’re convinced to install which brings along the botnet infection
Regardless, it’s a weird and dangerous mentality to believe that being part of a botnet is a “who cares” level of concern. Having criminal traffic originate from your network is a problem, but they might also decide to exploit other vulnerabilities some day and start extracting even more from your internal network.