I'd say not true. While some men might try for more pay, what I typically have seen with many people, men and women, is they take the pay offered. Most don't ask for more, especially in an interview.

I think men are more likely to take a job that requires more of them time when they have a family than women, but I think that's a cultural thing where so many husbands expect their wives to do more of the home care. A generalization to be sure, but I think a lot of men struggle with their wives being on equal, or higher, footing in the job market.