I think context would matter.

When talking to a Connecticut-based audience...maybe even "New England based", I'd say "Greater Hartford" is Hartford, West Hartford, Bloomfield, Windsor, East Hartford, Wethersfield and Newington. Maybe South Windsor, Windsor Locks, and Berlin too.

If I was talking to an audience beyond Connecticut or New England, folks who might not appreciate the distinction between Hartford / New Britain / Manchester / Enfield / the Farmington Valley, then I'd probably use "Greater Hartford" to mean most of the area within the Capitol Region COG (see https://crcog.org/wp-content/uploads/2022/05/Capitol-region-map.png) .