Low paid work in some countries may be fine - but in the United States it means that you won't have access to a high quality of health care and will not have quality legal representation (which is important, because if you are impoverished, you are more likely to be imprisoned); hell - you might even have trouble posting bail.
You will have difficultly securing quality education for your children, either because you can't afford private schools, or because you can't afford to live in a location where the public schools are of high quality.
You also are likely to be living pay-check to pay-check (sometimes even less, with pay-check lenders taking their vig), and only a small health-emergency away from becoming bankrupt, and quite possibly homeless.
So, no - I think there's a lot wrong with people doing low paid work. It might be okay for the young, or students, or the retired, but for most adults, low-paid menial work on a prolonged basis in the United States is a financial and personal disaster.
As long as that US system of inequality exists, I suggest we work hard to automate, eliminate, and as quickly as possible banish labor for adults that won't secure them a reasonable living for them and their household. Educate, Train, and move them up the feeding chain to something more sustainable.