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(1) Any statements about negative inferences from other possible bids (3♥, 3♠) would have been ruled to be made in their own self-interest, and ignored unless they could provide written evidence of such agreements.
I have seen this comment, or similar ones with the same meaning a few times in this thread. The feeling from a number of people seems to be "if you can't back up what you say in writing, then anything you say must be ignored as self-serving"
That's simply not true.
There is one particular instance, when deciding if there has been a mis-bid or a mis-explanation, when the Laws say you assume a mis-explanation unless there is clear evidence otherwise; and that clear evidence otherwise is often only allowed if it's on the convention card (or supporting notes).
Other than that, the AC (and the TD) will listen to everything both pairs say. As a starting point, they assume that both pairs are telling the truth as they see it. They are also aware that players are advocating their own side, and will generally present facts in the way most favourable to their side. But if you explain your system, and its inferences, and it all makes sense and is internally consistent, and its an area that there isn't room for on the cc you will generally believed.
The times you won't be believed are when there is a space on the convention card to show this particular agreement and you haven't written it in, or it's something so basic it should be on there ("we play penalty doubles of opening pre-empts"), or when the cc flatly contradicts what you claim to be playing, or sometimes if you claim to be playing something very strange (e.g. that leaves a lot of hands unbiddable).
A point about system notes, and the assumption that any good partnership will have all these things written down. Well, my system notes are just that: they are notes on what my partnerships play. One set is about 60% complete, and the other set about 10% in terms of overall agreements documented, yet I am pretty happy with them they way they are. We see no need to write down stuff that we both think is obvious. So, for example, nowhere does it say that 1S - 1NT - 2S promises a 6th spade, or that 1S - 2D (FG) - 2H (relay) - 2S (relay) denies 4-card support, or even that 1C - 1H - 1NT does not deny four spades but does deny a heart singleton. Or.....
Remember that the Laws in general are not about what _you_ would have done, they are about "could have known" and "an action suggested".
As an aside, the sorts of things that people say that may be partly (fully) discounted are
- If I'd known the 1NT was 14-17 not 14-16 of course I'd have played the hexagonal squeeze rather than try and take a ruff in dummy
- Partner always thinks for ages in this type of auction, even when she has nothing to think about
- Person A claims there was an obvious hesitation, opponents claim they bid in tempo and A's partner says something non-committal such as "I wasn't really paying attention"
- Simply stating "there was no logical alternative to bid X". Explaning in detail what you know about partner's hand and why there was therefore no LA can be very helpful.
- If I had the correct explanation of course I'd have forced to slam rather than signing off in a part-score - with no explanation of _why_ you would have bid differently.