Forum:General Raiho vs The Wicked Dreadroot

I'm asking this mostly to clarify, as I'm about 90% certain as to how it should work.

Player A has General Raiho of the Ice Barrier in play.

During his own turn, Player B Normal Summons The Wicked Dreadroot from his hand by Tributing 3 monsters. The Wicked Dreadroot's effect activates and resolves, activating Raiho's effect; Player B discards a card from his hand.

If Raiho is still on the field until Player A's next turn, and Player A summons a new monster, would this cause The Wicked Dreadroot to activate his effect again, causing another discard? Or does the previously-successful activation mean that the new monster's ATK/DEF are halved without activating Raiho?