tl;dr: Your narrative is wrong because only 0.81% of women in Canada are in a graduate program at any given time which is bad because Canada is the country with the largest educated population percentage in the world, also men exist and are also very likely to get graduate degrees but we ignore them cause they don't fit your narrative.

Let's go to the most well educated countries in the world which apparently are Canada and Russia (both have 54% tertiary level educations completed)

Generally, women are 60% more likely to get a graduate level degree than a man which using really shoddy math (I'm a mathematician, what did you expect good math?) means that 62.5% of all graduate degrees belong to women.

In Canada, about 230k people are in a master's degree program at any given time and for every 8 people in a master's degree program, 1 person is in a doctoral degree so I'll add an extra 29,000 people to that count for a total of 259k people in a graduate degree at any given time.

This means that about 162,000 women at any given time are in a graduate program in Canada

Canada has a population of 40 million, 20 million women assuming a perfectly fair split.

This means that at any given time, 0.81% of all Canadian women are in a graduate program.

I don't think that less than a single percent is going to be the reason why women aren't willing to have kids, we're also ignoring the other 37.5% of men that aren't getting the degree because they don't fit your narrative.

Note: this is the most educated country. Literally every other country in the world except Russia is going to have a smaller portion of their female populace in a graduate program.