Should undesirable tasks, such as cleaning, be a specialized job?

In a workplace, there are usually people who are hired to clean offices. Since it is unlikely that there are people who enjoy this work and find it fulfilling, would you support breaking up the highly-specialized nature of work to break tasks into a more even distribution of tasks? In other words, would you support cleaning duties being distributed among other office staff?

I’m specifically talking about “skilled” labor, such as IT, accounting, management, etc being tasked with contributing to less-desirable tasks as some part of their work day/week.