Will a knitted dress make me look like I've given up on the day? No, not if it's got any structure to it at all. The ones that read as "I've stopped trying" are the shapeless tunic knits with no waist definition anywhere. The ones that read as sorted have some shape built in, even if the yarn itself is soft.
Before you buy, check the gauge and the stretch recovery, because this is where knitted dresses let you down after a few wears rather than on the first try. A fine gauge in a merino or a merino blend holds its shape through a day of sitting in meetings far better than a chunky acrylic knit, which looks brilliant on the hanger and then bags at the seat by the afternoon. Look at the ribbing too, at the cuffs and hem, because that's usually the first place a cheap knit gives up. If it's already a bit loose on the hanger, it will be properly loose by week two. I'd also check how it's finished at the shoulder seam, since a lot of knitted dresses are cut in panels and a bad join there will show under any blazer or coat you put over it. And check the lining situation, because some of these are knitted tight enough to need a slip underneath, which nobody tells you until you're standing under office lighting wondering why everyone's looking at your hips.
Where a knitted dress genuinely pulls its weight is in how little it asks of the rest of the outfit. A plain knitted dress with a pair of boots and a coat is a complete look with almost no thought involved, and that's not nothing on a morning when you've got forty minutes and a meeting at nine. It also layers well under a blazer if the knit is fine enough not to add bulk at the shoulder, which matters if you're moving between a cold commute and a warm office and don't want to be peeling off cardigans all day. Belt one if the shape is loose and you want a waist back, or leave it alone if the knit is already fitted, because a belt on a dress that's already close to the body just adds a line you don't need. For colour, I'd steer away from pale neutrals unless you fancy a lot of lint rolling, and go for a deep navy, bottle green or a proper charcoal, because those hide bobbling and the odd snag far better than camel or cream ever will.
If you only try one shape this season, make it a knitted dress with a defined waist in a colour dark enough to forgive a few wears between washes.