They ask, but its just a way of learning about someone, it's unlikely to be a factor in deciding whether to continue dating someone, at least not initially for a man.
Men and women tend to date differently from each other. Women tend to go into dating looking for a long term partner. Men go into dating to have fun. There's all kinds of reasons for it, women have a more limited time window to have kids, women are more vulnerable if the man turns out to be a wrong'un etc.
But it boils down to women having more of an incentive to turn a potential partner down. I'm in my early 40's now, and I've got a good few friends who are dating at the moment, both male and female, most following divorces etc.
The way the two groups are dating is completely different. The women are whittling the men down before they're even meeting them, based on life stages, whether they have kids, how long they've been separated from their ex, what their job is etc.
The men on the other hand are basically meeting up with any woman who's up for a date. And the whittling comes afterwards, and it's based on how well the date has gone, did she seem fun, is she up for a second date, (and yes, does it seem like sex is on the cards sometime soon). They're not looking at the long term, and some of them seem quite shocked a year down the line when suddenly they're being asked to meet the kids etc.
That's where you're likely to encounter issues I think. You're not going to struggle getting dates, or even an early days relationship. It's 6 months to a year in that you'll find men bailing, because they're suddenly realising that a serious relationship looks very different to when they were in their 20s and noone had any real responsibilities.