It depends, to some extent, on the age of the child as to whether higher degrees are of use in teaching them.
I can't see that an English or Maths degree is of much help in teaching a child of Primary school age. All that is needed is basic literacy/ numeracy and time and effort. Perhaps if the child chooses to take the same subject as you at a higher level, it may be of use.
I think that, overall, life skills are far more important. It should be remembered that parents also teach a child by example and if a mother is terribly ambitious for her child but spends her days doing the housework/ going to the gym, one day, the child may turn around and question her about her own choices.
Hannah- I am not anti SAHM. I think that various people have pointed out that there are potential disadvantages to the OP's choices, both to her DC and to herself and her husband. In addition, some posters have commented that her life and general outlook is very insular and that, over the course of her life, she is contributing a limited amount to society. These are all valid points, even if you personally don't agree with them.
These comments are no different to what you have just said in your latest post about your DD's friends holiday childcare arrangements. These parents have made a choice to work (although, obviously, not everyone has a free choice). There are many positives to their choice- I won't spell all of them out. There are also some negatives. You feel free to point these out in your comments. I don't feel the need to conclude that you are therefore anti WOHM.