No. You're performing the job you are paid to do. You could hint that you could handle more work if you think it would benifit you, but how you perform your jo

No. You're performing the job you are paid to do. You could hint that you could handle more work if you think it would benifit you, but how you perform your job, as long as the end result is the same, is not something you want to "bore your busy employer" with. Especially not if it means saying "You could do this without me now"