Yes, it certainly sounds like an odd one sided conversation at least initially. If you are set on sending your child to this school at least to see how it goes, then (probably) no harm in trying for a few weeks.

We made the mistake of sticking with a situation that was bad for our child in ways we did not even realize, for far too long.

It is interesting and somewhat hopeful to note that due to lack of a gifted program, there might be much less paperwork and red tape in the way of getting your child at least informally assessed. Also interesting that the person you spoke with kind of pegged exactly how often a small elementary school would probably see a PG child. (and that they admit to the possibility of such a child existing!)

Hm.