I have a problem with the word "competition." If the wife is actually competing with her husband, I see this as a problem. If the wife has inner drive that empowers her to pursue these things as a means to fulfill her own goals, that is one thing. But if she is doing something strictly to "win" or "beat out" her husband, well, that does not bode well for the relationship.
It took my husband and me a long time to recognize that we are on the same team. He was always competing against me, as if I were his younger brother and not his partner. When this perspective transformed, we were able to cheer each other on like teammates. Teammates striving to do their personal best.
Doing your personal best does not mean competing against another, but against yourself. When couples encourage each other to be the best they can be, they discover the value of being each other's best friend as well as lover.