No, because with 4 in 5 people, herpes doesn't show any symptoms, and they few that do are only inconvenienced. Herpes deaths or other serious conditions from Herpes are extremely rare.
Covid-19 is also the disease, the actual name of the virus is SARS-CoV-2, but that's a thing for another time. For now, all you need to know is that, while the flu and Covid are both respiratory viruses, they have very different symptoms. The flu tends to kill by flooding the lungs with a ridiculous immune response to the infection, but Covid infects the tissue protecting your lungs, making your immune system kill the infected cells, weakening your lungs, gearing your immune system to defend against viruses, and exposing you to bacterial infections that would otherwise be harmless