Yes, he may infect someone over video chat. Can you imagine some people are upset when I ask them to wear a mask? Horrible!
Also, with omicron, the point of vaccines becomes less about transmission, but also about personal health. Not sure why home workers should be treated differently here than the colleagues.
Disclaimer: I am from Germany, it would be impossible here for a company to require vaccinations. But if it were, I could understand that they would require vaccination from all employees.