OK, maybe we’re getting hung up on the word “submissive”. In some people’s minds that might conjure up the image of some woman groveling in front of her husband like a slave. A better word might be “subordinate”. A woman naturally wants her man to take the lead, even if she doesn’t consciously realize it. No, it’s not a religious thing - this is from a lifetime of observation. Also, “subordinate”, even “submissive”, doesn’t necessarily mean inferior. It’s like dancing - someone has to lead and someone has to follow for it to work, but the one doing the following isn’t necessarily the worse dancer. That’s just the dynamic that allows things to work more smoothly.
A man taking the lead doesn’t necessarily mean that he controls every little thing and makes every little decision, either. If the wife is a mathematical genius or a finance wiz (more so than her husband), a smart husband would say, “Hey honey, you handle the finances.” But if she is bad with money, he’ll say “Hey honey, I’ll handle the finances.” In either case, the husband assessed the situation and allocated the resources properly. That is leadership.