What will be the nuances / pitfalls if the domain of the organization (legal entity) is not registered on the Jur. face, and on Phys. face?

Question

Domain name market

Actually a question. The organization is quite small, it can be said from several people, they are engaged in the repair of auto parts.
UPD: 1) Is it possible to make a domain in Yur. Person (if it was made on a Physical Person)? 2) How many answers can I choose as a "solution", otherwise everything can be chosen)