Thank you all for all this.
Mr Pot: that's fascinating, as the picture on that link shows exactly the same packaging as the nuts which showed the Sainsbury's figures I listed - so Sainsbury's alone list 6.9g vs 13.3g of carbs on the very same product! (Again, other figures vary a bit, but nowhere near by almost double!). Certainly, the 6.9g is much closer to what I expected; seeing 13.3g is what started me asking questions. I might pursue that with Sainsbury's, as the variation seems suprisingly large.
Bulkbiker: no, they're not roasted, but standard 'raw', kernels.