When you push a normal entity or a NoGravity entity through the Exit End Portal and land on the World Spawn Point of the Overworld, it does trigger string/tripwire that touches its hitbox.
But this doesn't work when pushing an entity with NoAI, or normal end crystals.
Video:
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Test World:
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Hi!
I can confirm this in release 1.16.3. Pushing another normal entity into the tripwire updates it, so when the normal entity is removed and the NoAI entity is the only one left there, the tripwire behaves as intended.