I don't think that this line of reasoning is very solid, because (a) men running companies definitely have some variation among them and (b) sports teams are sm

I don't think that this line of reasoning is very solid, because (a) men running companies definitely have some variation among them and (b) sports teams are small groups and not really representative of the problems facing larger organizations. One difference is that lots of people really want to play sports -- there will always be a huge surplus of eager applicants. In a situation like that, you can be discriminatory and still manage to get together a team, and even a moderately good one (but not the best). Large companies, on the other hand, have to hire thousands of people a year; and for jobs that are not much fun and which often require considerable training. The effect often has been to reduce discrimination. To take examples from an earlier era -- many immigrant populations in the US found their way into one or another industry this way. Notably they did not find their way into every industry equally; and some minorities have benefitted less from this effect; but it did happen. The comparable effect would be that we should see some industries adapting to the lower cost of women's labor in something -- though probably not the most elite (posh and desirable) industries.