This is an enhancement/bug.

Currently, a user cannot save / export APIs from Apicurito editor in Syndesis.
It is quite useful functionality and it is already implemented in standalone Apicurito.

User story why it is useful for the user:
As a user, I want to create two integrations with similar APIs. The difference between them could be just in one parameter. I create one API together with integration. Now I must create a similar API from scratch. It would be great to have the option to export the first API and import it to the second integration with small changes.

Image Apicurito.png shows how the standalone editor looks like.
Image syndesisApicurito.png shows how the Apicurito editor looks like in syndesis right now.