What is the advantage of using interrupt initiated data transfer over transfer under program control without interrupt?

In the interrupt initiated data transfer, the processor verifies the request and transfer the control ISR to perform the task and its resumes back with the useful task while, the processor has to waste its time by performing all the task, for example when a print command is given in the interrupt initiated , it gives control over to ISR and resumes the work back where as without interrupt the processor has to wait unless the print document is transferred to the printer.