The trait on Tsuruchi Shichiro triggers after every time "a Ranged Attack action resolves that your Mantis Clan Personality performed". However, you may only choose to apply the effects once per battle.
See Card features, Triggered traits:
Usage limits on traits in the general form “once (or twice, etc.) per turn (or phase, game, etc.)” mean that the trait is triggered every time the triggering condition is met, but its effects can only be applied a certain number of times. If the effects are optional, the “once per turn” restriction is only used up if the effects are actually chosen.
Considering this, does that mean EVERY Mantis personality who performs a range attack can move home, or a SINGLE Mantis personality can move home after performering?