Not so much the term "mis-information' from most average persons, which would imply everyone is trying to deceive, as it is mis-understanding or passing of incorrect information or anecdotal information as fact.
At full vaccination the amount of covid is less in breakthrough cases and for Delta the time period for the ability to spread the disease is less. Both result in decreasing the ability to spread the disease to someone else. Vaccinating against an airborn virus protect both yourself and others around you to a degree, which is better than not at all. An airborn virus relies on new hosts, the longer it exists the greater the opportunity to mutate, the more mutations the greater likelihood of re-infection or breakthrough by circumventing the natural or vaccine induced anti-bodies, which decrease in both over time. Sometimes it mutates to a more infectious but less dangerous variant and burns itself out, sometimes to the opposite. Omicron is now out there, determined more contagious, but unknown yet if more dangerous. Please don't use the fact that information is coming out realtime and and then later more information comes out, to state scientist don't know what they are saying or contradict themselves. Or mixed information is given. It's a real-time situation that is Novel.
Remember the Spanish Flu Pandemic lasted 5 years and at a time when international travel was no where near what it is today, but also no vaccine for 25years... The reason this virus is so difficult is because it is mild in so many people. Swine Flu, MaRS, Sars, etc. knocked people on their asses and then burned through them very fast, limiting the amount of time they could be out spreading it. Far more deadly in the immediate, but less so than covid can be over time. Less populated areas feel the effects at a much lower total numbers, but can still keep the virus alive.
Much of the problem is people hear what they want to hear, and Scientist tell you both sides of the story, the problem , media jumps on the headlines. Don't use terms like, "breakthrough" as an excuse to say it's not effective, and therefore why get the vaccine. The vaccines are highly effective if you get all of them, and as things mutate, the vaccines will need to keep up. Viruses that can mutate are not a one and done things, as we wish could be in today's want it now, quick fix society. 95% effective was unheard of, if it were only 65% that's still huge.
Seriously, though, the longer people hold out on vaccination, the longer this whole thing lasts.
PS. The actual studies are out there as they get peer reviewed and published, and you can read them. Don't rely on secondary information. Once a study is determined scientifically significant (able to repeat itself consistently at 95% or greater confidence) it's pretty solid, having more and more or larger cohorts is generally not necessary.
Also, it is pretty common around here for schools and universities to do online classes around breaks, part of it is to upgrade and practice them so they become more effective as this is not a thing that is going to be over soon or never happen again.