not if it could be a different placement each time you run the level. what if the trigger volume were 500 x 500 then having a set position to load the character wouldnt work. if its a begin overlap event what if the overlap was beginning on the other side of the trigger. or how about if he decided not to use a trigger box and just switch levels at a key press.
I agree that player starts would work for something like doors into a building which will never move or switching world zones. but when things are more dynamic you need a more dynamic solution. this also works easily into a saving system as well, as its a value likely to be loaded when loading any new level anyway.
It all comes down to what this person is most comfortable using. your way would work but mine would also. so in this case it comes to their needs and what they can make work. in scripting there are always many ways to accomplish the same thing.