So you're making the assertion that because SOME poor people are lazy, that the statement that "wealthy people don't work any harder than anyone else" is false? SOME wealthy people work harder than SOME poor people. And SOME poor people work harder than SOME rich people.
In fact, most of the truly poor people I've known worked their asses off, finished their work for the day at one job, then went across town to work their asses off at a second job.