Back in the day of 25 man rosters and 10-11 man pitching staffs, there was a place for a guy like Julien to DH and PH full time, think Randy Bush.
On paper, I think it’s still worth trying him in that role even with fewer rosters spots to go around. If they commit to it. It will require a change in philosophy away from the mid game substitutions, but I think it could work for him if he knows he’s the guy on any given night a righty starts, regardless of other stuff.