There are no run-time dependencies on Trigger.io servers except for using our Reload feature that allows you to push updates to your live app code:
https://trigger.io/reload
=> Your apps keep working for end-users even if our servers disappear
We're backed by top-tier angel investors and value our own reputations which protects you when it comes to 1. That said, we do have some more upcoming announcements that will hopefully do more to assuage those concerns.