You mean solve an actual business problem that the interviewing company has? The ramp-up time to be productive in any real business that I've been associated with is significantly greater than the time available in a single interview (usually an hour or so). This is why toy problems are used.
Another issue is that it's not really fair to ask an interviewee to solve your company's problems for free. In fact, without some sort of contract, the interviewee technically owns her own work, so even if she manages to solve a real problem, the company really shouldn't use it.
(BTW, 5K interviews at one hour per interview is 625 eight-hour workdays. Assuming 50 work weeks of five days each in a year, that's 2.5 work years devoted to nothing but interviewing in your career. Yes?)