I promise you it’s not. Even in what I’m assuming is an idealized one income nuclear family that you’re alluding to, directly compensating the homemaker for the work required to reproduce that structure just gives the household more resources to distribute.
It also legitimizes the work of reproducing the socially necessary family structure without excluding homemakers from conversations of policy regarding workers rights.
Everyone wins.
I don’t think it’s very smart to exclude race from discussion of domestic labor in the western world especially America.
I don’t think the payment needs to be gendered or even tracked closely but if you’re worried about a lack of means testing you could go full clintonite demon mode, scale it against household size and distribute it as a tax credit.
E: you could also do the Industrial Revolution for housework and provide community laundry service, grocery delivery, hot meal distribution and handyman work instead of cash payments for dealing with all that crap yourself.