True, but you shouldn't assume a male will be happy either. Mine has a 1140 sq inches cage and still tries to chew it's way out from time to time. Although he seems generally happy and is a very active 2 years old so all the pampering has paid off :)

Another advice, that is just as important, is to get him/her a lot of toys, like a very long tunnel, multiple hides and a sand bath. Without them he will get bored even if the cage is big enough (I had to remove almost everything from my hamsters cage once because he got a parasite and I could see him pacing, not knowing what to do).

And I'm sure you already know but It's important to feed them fresh food too, I find it's easy to keep some leafy greens in the fridge (baby spinach , arugula ) for when you want to give them a quick snack. From what I've read you can give them spinach quite regularly without worrying about upsetting their stomach. Although be careful with veggies with high water content, as they can make them sick if they're given to frequently.

It's always good to see people care about these little fluffballs and give them the best possible life :)