Family court is about economic equity, primarily for the child(ren), not about exacting financially punitive measures based on emotional pain.
I don't know their business, but if she's talking about hiring a nanny (which suggests not being an active parent), does it matter who has custody outside of leverage for future financial support? Wonder if they got married in a support equal shares state?
I'm not sure why she would qualify for alimony. I don't recall Kelis quitting the record business after getting married. At least he'll be able to write the alimony off on his taxes.
This is where family law needs to be tightened IMO. It shouldn't be hard to require the establishment of a trust for support payments and have a trustee administer the funds for the reasonable needs of the child(ren) and custodial parent and request adjustments of the court as truly needed.