The latter is connected with my favorite s1 episode. It requires the build-up of episodes past, but the payoff hits so hard. Not to mention, it's the silliest damn episode this side of TOS.
It was always my understanding, that people are stored digitally in the transporter buffer, so of course they could be stored there for extended periods of time.
That's also why I was surprised when people argued that you cant copy people with the teleporter. For me it always was a remote replicator