I'm not sure what you're asking about Hogai. Yes, his Reaction will negate his destruction. Just the first time each turn, though. It's an action, so it is limited to once per turn by default.
Are you asking about the interaction between Hogai's Reaction and the Reaction on Fortified Camp (assuming Hogai is being destroyed while he has an attachment)? If so, no. Fortified Camp will not do anything since you are negating its trigger. Hogai's reaction comes "before" destruction. Fortified Camp comes "after".
Matsu Takeko Exp's trait cannot trigger if she is herself being destroyed. Because at the point "after another player's Battle action resolves", she would be in the discard pile and nobody would be opposing her. (also, triggered traits don't trigger on cards out of play unless they say so)
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Tsuruchi Pyo (Eric Morgan)
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