If the problem were wealth inequality, that would imply that poor people steal because they are poor. That isn’t the case: most poor people are honest, decent folks. Studies of shoplifters have shown that higher-income people are slightly more likely to steal than lower-income people, and that shoplifting is correlated with other impulsive, anti-social behaviors [0]. That suggests that theft is not an economic problem but a psychological one. Theft isn’t a rational choice that “makes sense” for economic reasons but another manifestation of poor impulse control.
[0] https://pmc.ncbi.nlm.nih.gov/articles/PMC4104590/