I don't know if it really makes things easier as you'd still need to review the chart and see the patient and all that in order to get yourself up to speed with the new admission. Doing the admit yourself is the best way to know the patient well.
Personally, I think it's not a good thing if interns never do admissions. Knowing what initial orders to put in, getting to know the patient well and doing the H&P are crucial to your education. Especially when there is a senior person around to back the intern up and review things and confirm orders; otherwise once you're senior, and you've never done admits before, how are you going to manage a patient?
If it's a program that has seniors do all admits only on certain rotations, that's fine, but if they ALWAYS do them, that is a problem.