The only way I think Link is in trouble is if he lied about knowing about the text when it happened or when he denied a relationship with Patston.
If either of those are true he won't make the EOYT. If they're not, he will make it through the 15 RWC.
He should be giving an explanation on why he missed training and why he skipped the formal dinner. He is the Head Coach not a Taxi Driver. If a staff member requires a lift somewhere and in the cause of unity or investigation send another manager. He neglected his prime duty in missing training and on the other occasion signalled a lower standard of accountability for management to players.
One final point that I haven't seen mentioned anywhere is the culpability of those others who received the Text Messages. What did they do about it? Did they report the behaviour? Obviously not. I have worked for a number of employers where such a failure is itself a dismiss-able offence, and colleagues have been sacked and appealed the matter with the sacking upheld.
Finally if as reported Beale and Patston reconciled the matter in June informally between the two of them, but the messages were stored for later evidentiary use it speaks very poorly of the manager's ethics. Take formal action or do not.
None of what I have posted is meant to support Beale's position. When it was just a verbal stoush on the plane I thought he had rolled his dice for the last time and could be justifiable sacked. The Text messages make the situation untenable for him regardless of anything he might present in mitigation as far as I am concerned due directly to his long history of indiscipline. That said the situation has been managed poorly and the sideline stuff such as Hooper's statements, the petitioning of Link in Argentina etc tell me that the whole setup is as Toxic as it ever has been.