Criado wrote:
... This is because adding a * (a dame) will change the outcome of the game at higher temperatures
... Since * has mast value 0, then it should be the case that m(G)+m(*)+t/2 = m(G)+t/2.
... in general that for any t>0, the thermograph of G should coincide with that of G+*.
As I said I'm not sure if I follow the CGT part. To get this no-pass-go behavior (where dame may change things) you need a somewhat no-pass ruleset. This means strict superko (where pass lift no ban), which basically excludes Asian CJK rules and means AGA/NZ only. But AGA uses area scoring, where a dame is valuable. Is it still a * then? And (while moves into territory do matter in that case), how does adding a dame change the outcome if the side who can first capture the ko will only do that after filling all dame? (cf. molasses ko under PSK - another known no-pass-go case - where such postpone is not possible)
From a rules view, 1-eye-flaw is only problem for strict superko, since all it shows is the importance of passes as whole / fully functional moves. Otoh 0-sided kos can be challenging even with complete passes, as a repetition that needs to be recognized despite spanning stops - while at the same time similar repetition with a double ko seki (without score changes) should not.
I'm not sure how can the CGT view handle (if at all) 0-sided kos under normal, everyday rules where passes do lift bans. But in this case (if the score is otherwise close enough) moves into the position gain nothing regardless of temperature, since the outcome is still draw on repetition even if I omit or postpone my next capture (the opponent can do nothing to prevent that later with or without resumption).