The DNA, RNA or the RNA Polymerase of the infected cell would not be virus's primary source of heritable information because it has the ability to integrate into host cell and get itself replicated, also it causes infection so multiplication becomes necessary.
Step-by-step explanation:
The virus has reverse transcriptase enzyme in them which works slightly different. It transcribes RNA into DNA and eventually gets integrated into the genome of the host. It is here the DNA in the host cell is transcribed and translated. Thus it is modelled to have RNA as genetic material.
When virus infects the living cell by a process called a lytic infection, it injects its genetic material into it to get replicated and increase its number and eventually bursts the infected cell. Since a virus causes infection, it has to increase in number so it uses its own genome to get replicated.