Congestion pricing is just a band-aid on a severed artery. We need to stop allowing everyone to spew as much pollution as they can financially afford. With recent studies showing that auto particulates are contributing to IQ damage at levels comparable to lead, now is the time to get behind liquid fuel quotas. Couple fuel quotas to grid energy quotas and we have a real plan to get ourselves sustainable before we're totally screwed.
Of course, this will mean that the poor will be living in the large suburban houses while the rich enjoy the urban amenities, but the poor are generally industrious enough to walk, bus, and bicycle longer distances than our obese elites.

The other gender bias is that women are far more likely to use public transit and walk to work than men.

Are there statistics on that one?

I know more than a few single, childless females, as well as few "soccer moms" who ride (alone) to work and store on a daily basis in big SUVs, even if it's just a few blocks away or they could take the bus.

Personally, I also know some women who take cars no matter what, since they feel more "vulnerable" walking or taking public transit.  They feel more "secure" in a vehicle they can control and lock up.

Weird, I know, but it doesn't seem to be an uncommon sentiment.

So, what gives?

The original post seems to attempt too many points. Congestion pricing seems more a socioeconomic thing than a gender thing, in my opinion.  Canadian statistics may or may not resemble those in US cities with different government policies and subsidies.

I can say that more males than females appear to be doing bicycle commuting at this time in my city and my workplace.   Conversely when I ride the bus there appears to be 40 percent working age women, as well as 30 percent teenagers of both genders, 5 percent young kids (who ride free) and 25 percent working age men.

There may be a big "safety" perception among the suburban folks of all types, causing aversion to transit where they will rub elbows with folks who are (gasp!) "different" than they are.  Hence the locked doors in the rolling tanklike SUVs.

My city has no transit other than buses, and the urban housing is not "overpriced", the school district there just seems to be worse than in the 'burbs.  Most of those who can afford not to ride the bus, avoid it for convenience probably.

I suspect the child caregivers in the family are more apt to drive cars so they can do the necessary shuttling of kids to school or daycare, etc. That burden may fall more on the mothers at this time?

I disagree with the notion that the exurbs are the only affordable places to live.  Not true in my city at least.  Sub/exurban migration is more than a neutral lifestyle choice, it is an ecological decision that passes burdens on to our children, when it furthers unsustainable fossil fuel dependence and cul de sac thinking.

Moving toward sustainability with hopefulness, one revolution at a time.