They absolutely have a greater share of leverage. Currently. The gaps are closing and eventually we will be replaced. Not as soon as doomsayers say but definitely in my children’s lifetime on the current course we are on.
But nevertheless I’m not talking about the right/wrong of the trade war. I’m simply stating that the lower income people will suffer because the buck will be passed on regardless and increased minimum wage wages aren’t keeping up with costs.
Whether or not the "liberation day" tariffs result in price increases has everything to do with what you're talking about, though. If they do, lower income people will suffer, if they don't, they don't.
The minimum wage is a price floor, but it plays out in a similar fashion. Companies can either pass on the price increase, reduce their use of labor, or absorb the costs in the form of lower margin. It's for the business to figure out the most profitable combination of the three, if there's sufficient margin it may not make sense to increase prices, if their demand for labor is inelastic they not be able to reduce labor, and if they exist in a very low margin industry (think grocery stores), it may be impossible to accept margin lower than it already is. What's interesting, though, is that minimum wage paying businesses are often most frequented by the poor. The average household that shops at Walmart (minimum wage) is far less affluent on average than the household which shops at Costco (not minimum wage). The impact of minimum wage increases are therefore primarily born by the poor. Worse, most minimum wage earners are not primary bread-winners, and ~44% of minimum wage employees are in the 16-24 age bracket. These workers may actually come from middle and upper-middle income families, e.g. a student earning spending money for college, and the minimum wage is effectively redistributing money from lower to higher income households.