Raise minimum wage then fewer people will receive subsidies’ for Obamacare. That will reduce losses on Obamacare and push more of the cost to the on to the individual. So the individual will be no better off from the higher wage but Obamacare will look better.
Or....Raising the minimum wage will put more people on part-time work or out of a job, thus increasing the number of people on welfare - and more under the control of the ruling party.