Some of the choice of singles could have been better, but a lot of them do make sense. I mean, I wouldn't change Pull Me Under to being the second single, that might break the universe and DT might not get their big break!
Also, the single choices for Awake kinda make sense too, I don't know what else they'd pick, maybe 6:00 or Innocence F added? But they're both a bit too much on the obscure side to make it big on radio so I think Caught in a Web and Lie made sense. Falling into Infinity had some questionable singles, even though you can almost understand why they used the ones they did (You Not Me/Hollow Years), even though they seem like songs that could be singles, I just don't think the content was strong enough as single material.
Scenes From a Memory had Home and Through Her Eyes, makes sense to me. Home would probably be my first choice for a single too, dunno what else would work out of context from the album. Then after that they pretty much gave up on singles. Train of Thought got As I Am released which is the most logical song from the album IMO. They didn't bother again with Octavarium which is surely a missed opportunity because of all the albums that had single material, at least half of this one could have been used. But at this point I don't think the label was pushing them to break through to anywhere in particular, they were just riding out the end of the recording contract.
Then with Road Runner they got back into it and all of their choices for SC/BL&SL/ADTOE/DT12 have made sense and are normally the shorter more concise songs (Forsaken, Wither, Along For The Ride, The Looking Glass), or the 'heavy rockers' (Constant Motion, A Rite Of Passage, On the Backs of Angels, Build Me Up Break Me Down, The Enemy Inside). My main complain is that the Constant Motion and A Rite of Passage singles were butchered and had solos and bridges stripped right out which is a just ridiculous to me.
What they really should have done, is have a follow up to Pull Me Under that wasn't Another Day. Just after PMU hit the big leagues while they were very much on the radar. My guess is that by 1993 it was too late for Take the Time to save them (irony much?), then again Metropolis, Under a Glass Moon, they are more technical than Pull Me Under so who knows, might have never worked on radio. And by 1994 they'd kinda fallen off the radar. Lie is alright, got some nice riffage in there, but it just isn't on the same scale as Pull Me Under, that song has something bigger and grander about it.