You do not respond to Continuous Monster Effects. They simple "become active" when they hit the field. There is no activation, resolution and as such, not response or chain point. Continuous Effects are simply there or they aren't.
If I told you could ONLY respond to the activation or deactivation of a lamp while it was inside the room you were in, then you could only respond to the lamp being turned on or off. Now if I walk into the room with an already lit lamp, you could not respond because the lamp was never turned on in this room. You can't respond to me leaving the room with the lit lamp either, because the light was never turned off in the room. It simply was dark, got light and then got dark again. Nothing was turned on or off.
As such, there is no response point continuous modifiers. Jinzo does apply here, but not for the reasons your suggesting. When you summon a monster with a Continuous Effect, your bringing a lit lamp into a room. You can still respond to the summon, but there is no activation point for the continuous effect. It simply is. It immediately is. The reason you cannot respond to Jinzo with Bottomless Trap Hole has nothing to do with timing. It's because Jinzo effect is immediately active. If Bottomless Trap Hole was a Quick-Spell Card then you COULD respond to his summon with it. In fact, you can respond to Jinzo's summon with any Quick-Play Spell Card, like Offerings to the Doomed.
Also, the "Summon Response Timing" (for lack of an official term) cannot be interrupted, unless it was brought out in the middle of a resolving chain. When you Normal Summon a monster (or when the last link in a chain summons a monster), a response point is created. No effect will interrupt the response point. Continuous Effects simply become active. Any effect that require actual activation, will be activated in response to the summon. The chain created in response to the summon, can have three Bottomless Trap Holes and two Torrential Tributes and no timing will be missed for any of them.
