Is the piece on the top a leaf? I would call that style "contemporary" . Maybe from the 80s or 90s. Did you look for a furniture maker mark on the bottom?

Yes, it’s a leaf and the pads. I specifically like how it bows in towards the center but can’t find what the style is called. I did check underneath the table and chairs but couldn’t find a marking.

You could try using the word “hourglass” in your search to describe the top. Or “curvilinear.”

Edited to add that I just saw that you’ve already searched using ”hourglass.” Oops!