In the hypothetical scenario where all office, administrative ("paper pusher"), sales, and non-care person-to-person interface jobs are fully automated and eliminated, while hands-on roles like nursing, child care, and elderly care remain, the share of global GDP earned by men and women would reflect only the remaining labor income as a percentage of total GDP (assuming GDP remains constant, with the automated portions shifting to capital income rather than labor).
Based on current global data (labor share of GDP at approximately 52%, with women accounting for about 34% of total labor income and men 66%), and estimates of jobs at high risk of automation (which align closely with the specified categories, affecting roughly 11% of women's jobs and 9% of men's jobs globally), the remaining labor income shares would be:
Women: 16%
Men: 31%

Sweeney knows what women are needed for and what they aren't liked for.