Yup.
The Framers term is properly understood as the public good, meaning measures in the permanent and aggregate interests of the community.
Open the door.
Beyond safeguarding individual rights, government is to promote the well-being of the society that created the Constitution.
Wide open.
‘Promote the general welfare’ was understood its constitutional sense until the 20th century. Actually, it still is, but it has to be corrupted if the progs are to deliver us into perfect social justice (i.e. perfect tyranny).