Protecting your privacy should NOT be weird and a sticker over your webcam is a very visible way of showing that to the public. When people ask why I do it, its a good opportunity to educate them on the capabilities of the US government, other nation-state actors, and hackers in general. If they don't believe me and haven't heard of Snowden its simple to show them images of Zuckerberg, the FBI director, and other in tech with taped over webcams to convince them.
John Oliver also did a special last year that showed that a lot of people don't really care about the government getting most of their personal information on their computer. But when they think that the government is getting naked pictures of them and their family they're a lot more interested and upset. Bringing up the fact that the government can see them nude in conversation scares a lot more people and they are more inclined to become more privacy conscious.
If you use one of the bookmark post-it notes, it makes it easy to remove the sticker and put it back when you're done with your video conversation.