@Sooooootired01 Potentially but not necessarily. SAHM often have nest eggs IME. I also don't think it particularly matters the varying degrees of independence, if you're ultimately still dependent on another.
For example, most households require 2 incomes to get by. Lets say that a working woman in this scenario would most likely not be able to pay the mortgage, bills, run a car, buy food, all on her own should they break up and vice versa. That makes both people dependent on one another.
Another example would be say a single mother who does work and can run the household, but receives UC to make this possible. That makes her dependent on benefits.
Really, the only truly financially independent women IMO are those earning large enough sums of money to not have to rely on top up benefits or the contributions of a partner.
This doesn't address the other types of independence though. For instance, a working woman may be extremely emotionally and mentally reliant on her DH where a SAHM might not.
A SAHM/housewife might be entirely financially dependant on her DH, but he may be entirely dependent on her support in the home and relationship to be happy and mentally healthy enough to enable him to work a high paying stressful job. The contributions are different but one isn't necessarily any lesser than the other.
One of the online definitions of independent is 'to not require the help of others.' Help comes in all forms not just monetary. Another example, a woman starts work at 8am and her partner at 10am. She would need his help/would depend on him to do the school run.
I think most of us are a lot more dependent than we realise and that is ok, humans are social animals who have had to rely on one another to survive. Being entirely independent sounds quite exhausting and potentially quite lonely.