the original 400 corded propress didn't have a swivel jaw head. but the new corded 330 is identical to the 330 cordless in that the head will swivel 270 degrees.
of course you could always get the propress rings that allow for a swivel offset.
between the swivel head and swivel jaws, there's a position for every tight application.
Not sure how much copper you are working with, but once you have the tool, it won't be sitting long enough to have the batteries just run down.
The system is amazing and I just get so happy when I get a job big enough to rent one.