All stunning attacks (Except Zina's Mistress' Command while she is affected by her innate ability) are Physical type. Any character with Physical Evasion (Yoshiro or Popo) or any Tiki Villager using Elusive Feather (25% chance to evade physical attacks) has an increased chance to dodge the attack. If you dodge the attack, the debuff has a 0% chance of being inflicted.
The exception to this rule is Sonic Bark, which is both Light-type by default and Far-range.