That's a difficult question to answer but I would have to say "no".

When I had my wisdom teeth out, it was under "deep sedation". They use local anaesthetics, and an additional cocktail which produces sedation, but also, prevents the formation of memories.

I have one memory that got through, of a molar being ripped out: but for the most part, my sense of that experience is that I wasn't conscious.

The thing is, if you ask someone under deep sedation to raise their right hand, they'll do it. It's like asking if you were conscious during a dream which you've completely forgotten: ...kinda? not in the usual sense in which we mean the word though.

It's not that simple: Ask the person under sedation wether they're conscious or unconscious.

If they answer, what does that mean?

Sure, and sometimes you can talk to people who are completely asleep.

I think we agree: it's not that simple. To my taste, a total lack of memory formation is on the unconscious side of this fuzzy, permeable boundary.

And that's just humans. When we start talking about complex software which isn't alive in any meaningful sense, all our intuitions should fail us.

They won't; our intuitions are stubborn things. But they are as likely to mislead as to inform.