I honestly don't see how medical exemption plays in this, though. I also don't see how its misinformation or not accepting the facts that plays into people's healthcare choices. If anything, the facts made them choose what's best for their health being and others.
A little off track:
Why are medically exempt people excluded from getting the vaccine when both exempt and non exempt can spread the virus?
You need to realize the goal of vaccination is not that is protects individuals from Covid. It helps individuals from getting as sick, that's all.
The goal is that a high percentage of citizens gets vaccinated within a window of time, and this reduces the spread of the virus, and the severity, to a degree that the virus should not be able to thrive due to lack of vulnerable hosts. This is what experts in pandemics say. There is too much disinformation that is making poorly informed citizens feel like they need to avoid the vaccine. The irony is many of these people are now being exposed, getting deathly ill, many hospitalized, and a growing number dying. It's karma at work. But it is also hurting people like me who has lost work, income, and ruined my plans for racing this fall. It screws up lives. To the Right this is fantastic. They don't want the Democrats or experts to be correct in what they say about the pandemic. As long as the pandemic remains a serious problem it makes the administration look bad. And the administration decides to set mandates, and the Right makes that another issue to attack the administration.
Look how many people are saying the vaccines aren't working. But they never said to be cures. The rhetoric is getting more severe, and the Right seems to be winning the fight against America.
What about the choice to not take the vaccine make the non-exempt much more at risk than an exempt unvaccinated person?
There are people with conditions that make them need to avoid the vaccine and exposure to Covid. That is an issue they have with their doctors, and they need to design a strategy to navigate a society that includes many irresponsible members who are indifferent to the lives of others.
Imagine if you went into society and knew any one of the people you encountered could kill you, but never be held accountable for it.
If it were about the spread of the disease more than pushing people to get the vaccine, I'd hope there would be some studies on relieving the exempt so everyone can take it.
Well, only 70-80% of a population need to be vaccinated to reach herd immunity. That number may be higher now with the Delta variant because it is more contagious and replicates copies in higher numbers. The small number of medical exempt people are likely to avoid being in public given the huge risk of exposure to Covid, so they are unlikely to be a factor being unvaccinated.