OK, I'll bite, since you have asked the question a few times. For others, feel free to ignore this, as it is not hockey related (mostly).
Why do the vaccinated want the unvaccinated to get it... I can just speak from my perspective, but I think this is right...
Reason 1: Because we want our lives back. Because we see that as long as hospitals are overloading (as they are in Florida and Texas), or at risk of overloading, we will be under restrictions. We hate masks as much as anyone. And vaccination and some approach to herd immunity is the only way this ends. Yes, there will be boosters. And we will happily do that if it means we return to normality. Remember, the vast majority of the hospitalized and dying are unvaccinated. Deaths due to vaccinated cases are almost unheard of, and always are paired with other significant medical conditions.
Reason 2: Because that overloading of the medical system ends up costing us. There is a huge bill to be payed, and as much as we like to talk about "individual responsibility" in this country, when the ER's are full, it puts up all of our rates. These people you see in hospitals (Mostly 30 years old+, and %90+ unvaccinated, despite the number of unvaccinated being < %50 now) will run up bills in the 100's of thousands of dollars. That's what a 2 week stay in hospital costs. Most of them don't have that money, so insurance will pay or as likely, the hospitals will pay. In either case, we all pay. If that 30 year old was vaccinated, the cost to us is nothing, because it's incredibly unlikely they end up in hospital.
Reason 3: Because there will always be people who can't get vaccinated for medical reasons. They will live at risk until the cases go down, and the cases are being driven right now largely by the unvaccinated. Some of us have people in their families in that situation, and some of us just care about the unfortunate.
Reason 4: Because we care. Yes, even about people that don't agree with us politically. 600,000+ dead already, and probably another 300,000 dead in a post-vaccinated world is a blemish against this country.
Reason 5: Because, yes, you can still get Covid when vaccinated... BUT the science is pretty clear that if you are vaccinated you spread it much, much less. Most people don't even know they have it. For about 3 days you have significant virus present, but it drops off far, far quicker than the unvaccinated (about twice as fast). So your kid not being vaccinated does still increase the chances others getting sick versus an vaccinated kid.
Reason 6: Because even if the unvaccinated teenagers are not likely to end up in hospital, they are much more likely to get it, more likely to have symptoms and spread it, and more likely to take it home, to school, to practices, to games, etc, and pass it along to teachers, staff, coaches, parents, etc, outside of their family, who did not make that "choice".
Now, you are going to hear all sorts of nonsense about how the vaccines will create new variants (that's NOT how that works - mutation is random, and mutations actually happen faster in an unvaccinated population because it's just a numbers game). And how it's not been tested enough, which is also incorrect - all the acceleration that happened was about cutting red tape and doing things in parallel. The same amount of testing happened to get it to emergency approval as any medicine. If you are reading that stuff, I would question your news sources. Numbers do count.
The mRNA vaccine is completely out of your system in about 5 days, leaving behind just the memory of the spike protein in your immune system. It's a technology that has been used to fight cancer for many years. Millions of people taking it with no side effects does count.