Delighted to report that I have figured it out. (The model is exactly as described and depicted in the very first post above - Catalano Zero+)
The tightening mechanism is by way of internal butterfly nut so there is no access to it except by lifting and turning each vertical silver peg clockwise.
This mechanism is explained and demonstrated here:
https://www.youtube.com/watch?v=B3siBoPGPPg"How to change a GSI top fixing toilet seat with butterfly clip"
Of course, to be able to turn the vertical silver peg you first need to disengage the horizontal silver peg, at the same time detaching the toilet seat and lid. How you get each horizontal peg out is not at all obvious. It is not a capped grub screw (as suggested in the video), but just a silver cylinder which is held in place by a rubber ring sunk into its body about half way along. Unfortunately the ends of the horizontal pegs when installed are pretty well flush with the face of the vertical pegs, but with a bit of sideways manipulation you can get a couple of millimetres poking out. That should be just enough to prise out the rest of the horizontal peg, first with a small screwdriver then using finger and thumb. Once the horizontal pegs are out and the seat and lid are set to one side, just lift each vertical peg in turn, tightening them clockwise as shown in the video. Putting the small screwdriver through the horizontal hole gives enough leverage for good tightening (but don't overdo it and crack the unit). Make sure the horizontal holes are lined up, then replace the seat and lid by pushing the horizontal pegs back through the holes into the seat and lid.
I hope this is clear. Let me know if it isn't.
Thanks for the interest shown in this problem.