Mike: Oh dear! And the Voyager crew thought that their original EMH had a poor bedside manner! Inspired by a line in last week's second episode, perhaps this is where the First Doctor was disappearing to during some early episodes of the classic series..?
Al: I'm sure there was one of the NAs where the 7th Doctor gave Benny a hologram version of himself.
And of course the EMH has appeared in the Infinites before.
Mike's right of course, the 1st Doctor would have a terrible bedside manner.