OK, folks I found the answer to my problem, so just in case anyone else comes across it, this is what I've worked out.
SketchUp is really intended for large scale architectural projects like houses and blocks of flats, etc, and as a result doesn't do well with very small dims. and that was the fundamental issue.
I had decided that the only way out of my dilemma was to separate the components and print a kit of parts rather than a complete item, but when I pulled out the centre leg complete with its 2 ironwork brackets, it was leaning noticeably to one side, although I hadn't drawn it like that.

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Now if you look at the picture with no legs in my original post, that didn't have a bridging problem. Which implies that the legs are the problem, or at least are causing the problem.
Eventually I realised that when I put the temporary bar across the bottom of the three legs it was about 0.5mm inside the face of centre leg, which is actually about 1mm wider than the outside two. SU has a 'snap' function which is very useful most of the time, but on this occasion I think that it grabbed the leg and shifted the
bottom sideways to snap it to the line. This then twisted ( not moved) the whole centre leg together with the fancy scroll brackets at the top, sideways. Not sure exactly what happened subsequently, but I suspect that because the various components and faces were then out of line, when I sliced it the Chitubox auto repair attempted to join the dots and thus filled in the gap.
To avoid any other errors, I redrew it yesterday at 10x magnification and then reduced it to correct scale, ( which is the easy workaround for SU's dislike of small dimensions) and that has cured it. It is a peculiarity of SU ( one of many!) that it can display very small small items, it just can't handle actually drawing them!
This is a picture of the finished items, which I'm happy with. Given that the signs are only 50mm high o/a, I'm particularly pleased with the way the fancy ironwork scroll brackets have come out.

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