A good remake should take the same concept and just run in a different direction. It would be interesting to see the idea of a family lost in deep space as part of a colonization attempt is interesting. We got campy gold, but it could be done in a series way focusing on them attempting to live on an alien planet and dealing with being disconnected from the rest of humanity. With a robot, we probably won't be seeing the space monkey.
Maybe as a joke, but it won't be hanging around getting into hijinks.
For the record, I liked the 1998 movie as a correction to the show and the campy bullshit it got into; as one writer (C.J. Henderson) put it in his book about sci-fi movies, everything in that movie made sense, even the inclusion of Dr. Smith (Gary Oldman, at least up to the end where he loses it as they take off from the planet by a whisker and says his classic phrase.)
I just saw the trailer on YouTube, and I think that this new show's looking awesome.
Also, I should probably qualify my remarks by mentioning that, unlike many of my age cohort, I thought the original LIS, along with almost all of Irwin Allen's other career emissions was just downright dreadful from start to finish.
The only thing good about the original show was the follow-up comic book from Innovation Comics written by Bill Mumy, which upgraded the show somewhat by making it more serious and fleshing out the characters more, even Smith, while admitting that Will and Penny were growing up (and in Penny's case, filling out.)
I will grant that the most star-struck I've ever been was spending a couple of hours with Jonathan Harris back around...1992?
I'd be more starstruck because he was on Space Academy as Commander Issac Gampu than about him being Smith; the character was useless, and should have been killed off after six episodes as originally planned, with the rest of the show being about survival on an alien planet (or planets) while trying to figure out if they should go back to Earth on just continue on to Alpha Centauri.