When L and T cross for reporting a foul

[Amesman]

We've been going back and forth on this: When L calls a foul in the front court and they have to pass each other when L goes to the table to report, should one always go inside (or outside) the other?

Prevailing (slightly) sentiment seems to be the new L should take the inside route in order to keep better eye on players in the paint. Some say it doesn't matter a hoot.