Given the editing we don't know how much or little was discussed in the coaches' meeting with Dana White. Maybe White asked how much Cody was over the morning before, night before, that morning, etc.
Add in the footage shown of Caraway & the others when Cody was faltering -- they were huddling & discussing what Cody weighed the night before, that morning, etc and all they knew was what Cody told them (iirc Cody answered 141lbs to everyone in the huddle).
And I could see that coaches' meeting going like this
White - What did he weigh last night? And this morning before going to the gym?
Tate - Cody said he weighed 141lbs.
White - Did you or another coach see him on the scale?
Tate -- No.
To me that is a coaching mistake. Yes, the ultimate responsibility for making weight is on the fighter but from what was shown Tate's coaching staff had no idea what Cody was weighing.
I remember way back when I was wrestling, our room had a weigh-in sheet - write down your weight after practice (sometimes before). And I know several other collegiate teams have a similar practice.
Given the big wrestling background of that coaching staff & them knowing how much (or should know how much) weight some of their fighters are cutting, I'm surprised Tate's team was pretty much clueless about what Cody was weighing. (also factor in Cody wrestled in high school at 145lbs & junior college at 157lbs, so the staff knows the guy is cutting a hell of a lot of weight).
Right when they realized Cody had the last fight in this round his coaching staff should have been monitoring his weight - at least watch him step on the scale.
Again, we don't get the full story because of editing but I was surprised at how little Tate's coaching staff was pushing Cody, it was as if they had never encountered someone ready to quit during a weight cut and their attitude towards it was like it was just for a random weekend grappling/wrestling tournament not one of the biggest if not biggest fight of this guy's career. Team Tate's attempts were pretty passive to me.
And I'm not surprised at all by Ronda using this to take a shot at Tate. If I was in her situation I would have done the same thing.
tl/dr
cliffs:
Editing doesn't give us all the info.
Tate's staff seemed to have no idea what Cody was weighing
Tate's staff lacked a sense of urgency when Cody started to falter
Coaches should be monitoring fighters' weight
Final Responsibility is on the fighter
But what was shown of Tate's staff was incompetence & lack of leadership.
Of course Rousey used this to take a shot at Tate.