It is not exactly correct if the ring circuit is less than the maximum.
It is correct (at that one point on the ring) in terms of what I was determining - i.e. the maximum spur length such that the Zs at the end of the spur would be no greater than the Zs at the midpoint of the ring. As I wrote, that Zs may or may not (usually the latter) be the maximum permitted for the circuit.
But that Zs value is irrelevant if the ring circuit is less than the maximum.
In that situation, it is indeed irrelevant in terms of whether the Zs at the end of the spur is acceptably low - since, per what I calculated, if the Zs of ring circuit is less than maximum,then so will be the Zs at the end of a sour of length I have indicated.
Well, of course they are assuming that which is a mistake.
It seems that they may well be, but it is far from unusual for regs to consider 'worst-case scenarios' - which, in this case, would mean that the midpoint of the ring already had the maximum permitted Zs - which, in turn, would mean that a spur originating at the midpoint would not be possible AND, as you have observed, that the ring could not be extended.
You are taking a totally different attitude to this than I am. I was simply intellectually interested in working out what thinking was behind this "1/8" rule-of-thumb, and I think I have achieved that, to my intellectual satisfaction - and that has also convinced me that it is a pretty useless rule-of-thumb. You are more concerned with going on about (the lack of) 'correctness' and 'mistakes' etc. - which is your prerogative, but of little interest to me, since I can do my own sums and don't need a 'rule-of-thumb'