Confusing Question

We were at our usual weekly pub quiz last night. One of the questions was this:

Who is the current captain of the Starship Enterprise?

I have to confess being rather confused by this question. Given that Star Trek is set two hundred (or so – I’m not a big fan, I don’t know the details) years in the future, how can the word “current” possibly have any meaning?

The answer that the questionmaster accepted as correct was Jean-Luc Picard. Is there any way that answer makes sense?

As I understand it, he was last seen as captain in Star Trek Nemesis in 2002. But Jonathan Archer was seen as captain (of a far earlier Enterprise) until 2005.

I hate it when quiz questions are illogical.