Firstly, you can't tell the condition of a sheep with its fleece on by eye. You have to get your hands on them, under the fleece.
And even then, that is only a partial help with primitive types, as they may carry fat internally.
In general, the type of sheep you have, if they are mated to a tup of the same type (or not larger or more muscley than they are), then you are unlikely to have lambing problems unless you really overfeed, and their bellies shouldn't be so overfull that they can't get plenty of grass in there
However, all ewes in the last 6-8 weeks of pregnancy need a lot of glucose. It is usual to make this available through cake, energy or treacle lick, or molassed hay. It is particularly important if she is carrying multiple lambs.
Most of the land in the UK is deficient in copper, cobalt and selenium. Pregnant ewes may well need these minerals, so it is usual to supply them either through feeding cake, a mineral lick, or a mineral drench. If copper is required (dependent on breed as well as land), it is needed 8 weeks before lambing. Either in chelated form in a mineral drench (it must be chelated or it won't persist long enough), or by giving a bolus or 'needles' by mouth. Lack of copper can result in skeletal problems, most often evidencing as 'swayback', where the lamb sways rather than standing still.
You don't say where you are - I am writing this on an upland farm in north Cumbria, so if you are in the South West of England, your grass will likely be more nutritious than mine! But you can't tell by looking, you need to either know the ground or get the feed values checked. (For instance, we have some riverside grazing. It always looks good, there's always more and better-looking grass there than on our wetter ground, but lambs reared down there always weigh less than lambs reared on the wetter ground. And ewes may struggle to produce milk for two unless given cake.)
You're right to be cautious about overfeeding cake when you don't know if they're having one or two (or more) lambs. But equally, as you've read, they can struggle with insufficient sugar, especially if they are having multiple lambs, unless they have a source of sugar.
In your situation I would have an energy lick (with minerals in it) available to them all the time, not feed hay unless they seem hungry and eat it if offered, and check their condition by getting my hands on them. Any that seem thin could be carrying multiple lambs and need extra feed. If you can segregate then you can feed cake to the thin ones; if you can't segregate then you could consider 1/2lb per head per day for all. Not enough to make any of them fat - or any single lambs overlarge - in the next three weeks, but hopefully enough to help them along and ensure a good milk supply.