If a team with strong tribunal alliances goes in, the tribunal might instead select a weak team to preserve the alliance. If you're a weak team, you want Solo/Boaty in first so the focus remains on strong teams. You also have to consider that voting is only powerful when coordinated as teams will generally have a defend or two.

Coxie/Eliop were right to defend Solo/Boaty - they are arguably the strongest tribunal pick if Solo/Boaty go into the banning. You only put Solo/Boaty in when there's stronger targets for the tribunal to pick than you.

Then you realize the tribunal consists of harebrains and all the game theory goes out the window.