Increasing that isn’t the case. Among Jews who don’t keep Shabbos or Kashruth, the liklihood is that they will intermarry, and that half of those children will be goyim (and the other half will have no-Jewish surnames). This has been going on for several generations in the case of America (referring to East Europoean, even longer for the pre-civil war German immigrants or the pre-revolution Sefardim), and due to the high immigration of goyim with Jewish ancestors for the former USSR, it’s been a demographic factor in Eretz Yisrael for a generation.
We are approaching the situation where the person you meet with Jewish ancestry is no more likely to be Jewish than any other non-frum person you meet.