I guess this is a case to case basis. It's not really about gender roles. This is all about discipline.
If you are responsible and disciplined enough, then there's no need for someone else to manage and budget your money for you because you can do it yourself. If you know how to prioritize your needs and wants in a proper manner, you will have lesser troubles. Comparing to those who lack self-control and lack of financial literacy, you'll be in the advantage side because you know how to limit yourself - when to stop and continue gambling. With this, the outcome will be so much better too. You won't need to be bothered by excessive gambling habits because you have a healthy habit to begin with. In line with this, you won't get addicted and you won't spend too much money and too much time gambling that could compromise your well-being and the time you spend with your family.
Whether you are a husband or a wife, always remember to be disciplined and responsible especially when it comes to money matters.
I don't think it's a gender issue. But when you are married, you share everything with your wife or partner. There are no secrets (although there are some things that the wife/husband doesn't need to know) but it's best for financial matters we can leave it to the wife. But maybe it could be different because there will be further communication to manage our household when we get married.
It takes responsibility and discipline, but usually, the wife will be better able to manage financial matters than the husband because I have seen it in many married people. And if you feel it is each person's responsibility and discipline, that's also okay

And with regards to gambling, I think a husband may have a certain budget to play gambling but it must be remembered that the gambling budget may not use money used for daily needs. You can freely gamble with the budget you have so they don't interfere with each other.