Still means without carbonation. Flat, like a bottle of wine.
You wouldnt want to drink a flat beer, but flat cider tastes fine. Just make sure it is cold - like a white wine. I prefer it with carbonation, and I suspect that most people do also, but that is like saying someone prefers champagne to wine - which may true, but it doesnt mean a wine is no good unless it is sparkling. I'd rather drink a good wine than a bad champagne.
I think that because this board is an offshoot of a beer board, and lots of the posters have a beer brewing background, there is this assumption that it has to be carbonated to be any good, and because bottle carbing cider is difficult, developing the taste becomes a secondary consideration to getting a good bottle carb.
The sweet spot is a matter of personal taste - the hydrometer is helpful for nailing it consistently, but its still up to you what you like. Commercial ciders are usually around 1.020, which is pretty sweet for my taste - but I suspect that is based on focus group testing that tells them this is what the majority of people like. My brewing friends tend to like it dry - down around the 1.004 - 1.006 range. I'd say the majority of my friends like it around 1.010, which is about where I like it. If you decide that it tastes better to you at 1.000 or at 1.030, then go for it.
If you cold crash, then you dont need to backsweeten, because you will have stopped fermentation with some of the apple sugar still intact. But it will be still.
Champagne is tough to crash tho. You may have to do it twice before it is stable. After cold crashing you should let it sit in the secondary for at least a couple of weeks and make sure that the sg doesnt drop any more, so that you know it is really stable and safe to bottle. Ale yeasts are a lot easier to get stable. Since this is your first time out of the gate, it might be easiest to let it ferment all the way dry and backsweeten with splenda - which seems to be what most people on this board do. That way you can get bottle carbonation without the risk of bottle bombs. IMHO, it will probably taste more like an alcopop than what I like in a cider, but it will still be drinkable. Or you could crash one carboy and bottle carb the other