In the discussion paper's section on education, on p. 17, there is mention of education for adults:
Improve rates of progression between the different phases of education and the
workplace (early years, primary education, secondary education, post-16 education,
higher education, apprenticeships, the workplace), and ensuring there are
opportunities for adults to learn the language.
Ensure that Welsh-medium courses are a natural choice for people in post-16
or higher education.
Use the findings of longitudinal research to ascertain when specific
interventions are most likely to increase the rate of progression.
Develop innovative opportunities to enable new speakers to become confident
to use Welsh in the workplace, socially and in the home." (this is where I would place SSiW)
With regard to parents specifically, the section on people lists this as an objective:
"Increase the rate of transmission within families in order to ensure that future
generations can speak Welsh and use it."
This is of course high level, but the intent is clearly there