Actually, that is pretty typical. It doesn't mean that all the elderly will be vaccinated before May.
For example, in New York -- They already opened up vaccinate eligibility to about half the adult population -- teachers, grocery workers, essential workers, anyone with obesity or hypertension, etc. Yet, there are still 80 year-olds who haven't been able to get an appointment.
So yes, Connecticut will have eligibility for everyone on May 3rd. But there may still be 80 year-olds who haven't gotten their jabs yet.
And that's what we are seeing around the country -- To keep things moving, they are expanding eligibility BEFORE completing the previously eligible groups.
I'm under 50 and have mild hypertension, I have an appointment in New York next week for my vaccine -- But there are lots of 70+ year-olds who haven't been able to get an appointment yet, or who have appointments scheduled for late April.