Do the unvaccinated pose a greater risk to others than the vaccinated? Don’t they spread it all the same however the vaccinated have better personal health outcomes if they contract it?
Genuinely asking
Don't take these numbers literally, but all other things being equal, an unvaccinated person is about 20 times more likely to be an unwitting carrier of asymptomatic infection. So yes, they are massively more risky to be around.
Once infected, there's some contention over the transmission rate between the two cohorts. They're both capable of transferring the same viral load, but the vaccinated are more likely to have a shorter duration of infection. The point of mass vaccination is to reduce the R0, the reproduction rate of the virus. Once this rate falls below 1, outbreaks wane. Even though the vaccines aren't perfect, the more who are vaccinated, the better chance we have of reducing transmission and ultimately beating the pandemic.
Each member of our herd's immunity helps protect us iteratively. My immunity protects me, which in turn protects you, which in turns helps you protect others.
It's not solely about your body, it's about everybody else's body as well.
At the risk of sounding histrionic, the unvaccinated are very literally enemies of the state.
Some further reading:
Unvaccinated people are ten times more likely to contract COVID, and more likely to pass it on than vaccinated people.
theconversation.com
Oh, and if you come across the term "natural immunity" this is another American political import being sloganized by anti-vaxxers. It's not actually a term used in immunology, but in this context it refers to acquiring antibodies through previous infection. The political aspect came from demanding this be recognized in vaccination passports.
Unfortunately, the immunity conferred from previous infections has transpired to be not quite as effective as vaccination, and also wanes within months. Meaning even if you've previously caught it, you can definitely catch it, and spread it again. Though the good news is it's less likely to be as severe the second time.
I've noticed a lot of shouty types, particularly in Australia, have confused this with the notion of an inherent immunity, which might or might not exist. These are the "I trust my immune system" types. They have this quasi-religious faith that because they haven't caught the flu recently, they're magically immune to bugs in general. Ignoring that this is the once in a century cyclone that lifts the roof off your house that's been standing for 99 years already.