If its a virtual meeting (eg. over Skype) with participants from multiple time zones, it is safe to assume always one time zone will take precedence over others and time should be saved with respect to that.
If its a natural event like a solar eclipse, it can be saved in UTC.
There is always one time zone in which the event won't be adjusted. Just use that.
I agree with everything except I would modify that statement to be "There is always one location in the which the event won't be adjusted. Just use that."
It seems like people are assuming time zone is fixed when it can change. The fixed point is the location which is used to determine the time zone.
Natural events are trickier because they have different assumptions than human created events. UTC is probably best for those.
For the virtual meeting, you just localize the time as they query it--this will make your life vastly simpler when, for example, querying over an interval or what have you.
UTC is the right answer.
I still believe that UTC is useful as an intermediary, and persisting in UTC can work if all your times are in the past and all your conversions are done with an up-to-date rule list.
Person I was responding to gave bad reasoning ("Pick the timezone that matters most") instead of echoing what the article said.