If we have time for another comment on this topic, I'd like to offer another perspective (I have been a FLL referee and head referee.).
This is what the INTO ORBIT rules say:
The key is "as directed by the tournament officials". If you have a question on this policy, please ask during the tournament's coaches meeting or ask the tournament head referee.
If I was your head referee, this is what I would tell you. The requirement for two at a time is a loose requirement and if there were three or four members at the table at one moment in time there is no problem. Quite frankly, as long as there is not a strategic purpose for your extra members being at the table and as long as you are not in the way of the referee nor blocking the view of the audience, more than two can be at the table for a short while. If your entire team was camped out on the south wall of the table, I'd be asking them to step back.
We want the tournament to be a fun experience for your team and for those watching the tournament. Don't fret over the "two technician rule" too much. Swap out as often and as quickly as you desire (and have fun!).