Add the orange slices, lemon slices, lime slices, honey, and the pinch of fine sea salt to a large glass pitcher (about 3 liters). Gently muddle just until a small amount of juice is released and the honey dissolves. Do not crush the fruit. The moment you attack the pith, bitterness wins and the drink is dead.
Add the fresh orange juice and white verjus to the pitcher. Stir gently to combine without agitating the citrus too much.
Cover and refrigerate for at least 1 hour, ideally 2–3 hours. This resting time allows citrus oils, acidity, tannic structure, and honey to fully integrate. If you rush this, the drink tastes disjointed and thin.
Just before serving, add the chilled club soda. Stir gently once or twice — no more. Carbonation is fragile.
Fill glasses with ice, pour over the white sangria mocktail, and garnish with orange peel twists.