...but you will only find the 1 NM stuff in the Orstralian MATS
AFAIK, the ICAO standard is based on the probability model, Oz complies with stuff like the cross-track tables, doesn't with that magic 1 NM. And I agree, all bets are off in the TIBA.
Doc 4444
"Lateral separation shall be applied so that the distance between those portions of the intended routes for which the aircraft are to be laterally separated is never less than an established distance to account for navigational inaccuracies plus a specified buffer. This buffer shall be determined by the appropriate authority and included in the lateral separation minima as an integral part thereof."
Having said that: TIBA = no separation, therefore no separation standard.