When I was a kid I didn't recognize the flaw in "Spock's Brain," but not long after I started reading about speculative space drives and then I understood it was wrong before anyone else spelled it out for me.
What's wrong with having a FTL drive called "ion drive"? The TOS shuttles had "ion power" in "The Menagerie" - obviously, the terminology is valid for Star Trek, and the only problem there is that Scotty thinks a ship powered with this is a big deal even when a shuttle powered with it is not.
We don't know whether said ion drive involves charged particles, or is a TLA for some technology unrelated to charged particles, but neither of these alternatives is particularly bad science.
Certainly there's no reason to reserve the term "ion propulsion" for a device that spits out ions for rocket exhaust. That's not a particularly promising technology for space travel in general, and would be rightfully forgotten by the time the Trek humans went spaceborne. I think nobody would object to having a space drive called "beam engine" in Star Trek - even though the term "beam engine" has a very specific meaning in the history of engineering (namely as relates to reciprocating steam power) and utilizes a surprising definition of the word "beam".
The writers made such a fuss about how the Bajorans invented the solar sail long ago, before they had rocket technology, but nobody considered how did they get the thing off the planet?!?
Nowhere was it suggested that the sails would have preceded rocket technology.
For all we know, Bajorans had warp drive before they had lightsails. If we trust Picard's archaeological expertise, they would have had at the very least a hundred times more time to develop it than humans have had for ascending from the wheeled cart to the reusable rocket. Certainly they could have had gravity control before they had lightsails, because gravity control is a trivial technology in the Trek universe - everybody has it everywhere, and it's 100% reliable even after centuries or millennia of disuse. And applying just a bit of that tech on a lightsail would allow a fairly small surface area to move a fairly large cabin as shown.
Of course, various "low tech / steampunk" techniques are perfectly plausible for orbiting a spacecraft, including beanstalk elevators, launching from a high altitude balloon, or firing from a sling or cannon. Trek has made mention of beanstalks (VOY "Rise"), while the other techniques would not require the sort of infrastructure that should be prominently in our view if extant. And it need not be extant any more, of course; modern Bajorans could have different launch techniques available, perhaps having had to downgrade from elegant beanstalks to primitive rockets because of the Cardassian destruction of their civilization.
There's no bad science as such in having lightsails with partially wooden cabins; it would be fun to see what else the Bajorans had at that time period - and the more it differs from our narrow ideas on noisy and smelly rockets, the better...
Timo Saloniemi