If the vaccines had not been used as soon as they became available the rate of hospitalization would not have dropped.
You don't know that. You're assuming, and it's a rather poor assumption. I gather from what you're saying, that infection rate dropped after vaccination rate rose. But there are other possible explanations, perhaps herd immunity had been reached from natural infections.
Correlation doesn't equal causation.
Using the same logic, I could conclude that vaccinations cause an explosion in infections.
Here in Japan, infections subsided and lockdowns were relaxed before vaccinations were started. When vaccinations began, we had an explosion of infections.
In my prefecture, we had 180 infections from the start of this pandemic till the end of April 2021. Now we have over 4,000. Immediately after starting vaccinations. And our hospitals are collapsing, one patient, not in my prefecture, was turned away from 100 facilities before being accepted.
That doesn't mean the vaccinations caused it, correlation doesn't equal causation.
We need to encourage each other to engage in better critical thinking. Our lives are at stake, but I probably don't need to remind you of that. ME/CFS is a master educator in that respect.