These Janome precision scissors, though good for cutting close to the stitching when doing buttonhole or four-sided edging, are actually not very fine-pointed so no use for Hardanger cutting.
Jarvis recommended a pair which looked very good but at $53 plus postage to the UK is a bit over budget

I found online recommendations for the following two scissors, but would very much like to know if anyone has actually used these and can tell me more about them:
Jaanome Fine Point embroidery scissors
and
Prym Professional Pointed Fine Embroidery Scissors
or if anyone has used any other fine-pointed scissors which they have good experiences with, I'd love to hear!
Oh by the way, a lady at my stitching group let me try out her bent Hardanger scissors (like these ones) but I found they didn't work for me, so I'm looking for straight ones.