[@Sophrus] No, they wouldn't, because of the exact same reason. Imperial navy vessels are purpose built on the small scale. None of them are warp capable because warp drives are too massive and require too much power to be on anything smaller than a freighter. And, no, even merchant trader vessels sport crews of the 10k+ variant. That's just how space travel works in 40k.

Small craft made by the imperium are for when you've gotten to the planet or chunk of space you're planning on getting to. Nothing that small will get itself to those places, because they can't. Which makes sense, because the Imperium don't do interplanetary ships. There's no reason to. A warp drive is just as able and just as practical for traveling between planets as it is between solar systems. That's the entire point of warp drives.