I don't think national Dems, generally, are very quick to understand this as 'safe, legal, rare' type messaging has been emdedded in the culture for 30 years. Need some champions.
*Abortion polling generally gave people 3 options (ban, some restrictions, no restrictions) and people would happily choose the 'some restrictions' one to make them feel like morally superior humans, but that disguised support for the reality of abortion rights, not the debate club version.