The thing is, the Hyuuga already failed to get any status from having a good show at the exams. The only person further humiliation hurts is Hinata. And us, in the long run.
I'm thinking of something like this, in a letter that only the Byakugan can read.
Hyuuga Hinata,
In a very real sense, this entire exam was window dressing for round one of Goketsu vs Hyuuga. Goketsu happened to win. But we are both going to be around for some time, and our loyalties to our clan will surely put us at odds again. Goketsu will not always emerge victorious.
So for our own protection, we would like to establish a precedent, as clan children. Whenever loyalty to our clans forces us to fight, we fight. When one of us wins, we stop. We endeavor to hold nothing against each other, for neither of us has done anything the other would not do in their situation. And we share a toast to Leaf.
Towards this goal, we make the following proposition: attached are two versions of a report we could hand Jiraiya. If you so desire, we will deliver the report that does not belittle your extraordinary achievements in this exam by having them end so ignominiously against a team who spent the last two years specializing in that exact situation.
To counter the leverage this would give us over you, we freely offer this secret: Hazou wet the bed until he was nine years old.
We will be in the old tea shop by the docks at noon, right before we deliver our report. If you wish to make a selection, join us there for a toast to Leaf. If not, we shall toast to Leaf separately.
Goketsu Hazou
Goketsu Keiko
Goketsu Noburi.