Does your insurance cover eyewear or a portion of it?
Yes, we are born farsighted, all the close up work we do starting in school trains our eyes to focus nearer and nearer. Eyes are muscles, they have to be used, near and far.
I would get the glasses. It is a disservice to him to allow him to "grow out of it". YOu can get the glasses with the hooks around the ears. ONce they start to wear them and they see they are not likely to rip them off.
If you child has poor eyesight and goes to school, things the other kids do easily he will not be able to do. Catching a ball, reading, walking a straight line.
Drs look at a variety of factors in assessing whether a 2 yo needs glasses like how the eye reacts to lights and different lenses. Until a child can say 1 is better than 2 that is how they decide what prescription to give. You will have to go back every 6 months or so while he grows. By school age he will be able to let you know which lens works best. And by then he should be on a yearly ophthalmologist visit, barring any unusual circumstances.