Are they wrong? I would say they're right, oil is in fact vital to global security.
Then, there's plastic. I hate the use of plastics for many things, but there are some things for which it is absolutely essential. For example, there are many medical uses of plastics that save lives and restore bodily function.
Plastics also are very useful for mundane health and safety type items, because they can be low cost, impermeable, and durable. Plastic medical equipment is often safer than glass because it can be thrown away instead of reused. It also makes the equipment more accessible in lower income areas.
Eliminating all oil is just as silly of an idea as using oil for everything. There are some things it does well and some things that we can do better a different way.
Cheap and abundant energy is strongly correlated with prosperity. Every barrel of oil produces roughly 1,700 kWh of thermal energy. In countries with low cost of oil production like Saudi Arabia and Iran, that means electricity generation for less than $0.01/kWh. The only viable technology to compete with oil and gas over the long term is Nuclear.
(If the slogan was 'Gradually Replace Oil', almost everybody would agree, there'd be no excuse to block roads, throw paint around though, and earn attention and social media cred, though)
No, there wouldn’t be the oil excuse, there would be something else that riles people up to create chaos