In my opinion, this is a very strange management decision by the Governor of Ohio.
The goal of the Covid-19 coronavirus vaccination is the safety of the patient, his friends and relatives. As well as the safety of other people (US citizens). It is not very clear how this relates to the lottery. The lottery is a game of chance.
The lottery is able to stimulate only gambling people to vaccinate.
At the same time, total vaccination is needed to defeat Covid-19.
I don't think so even if you are not into gambling or betting in a lottery, this is one million you will take a chance, not every city or state offer this kind of opportunity, they are lucky that their local government is offering this, no other country like Ohio is offering a chance to win one million to all who will take a vaccine, while other countries are in a hurry to get their citizen to get a vaccine.