API auth is complicated in insomnia, but there is a clever way to use variables/env to solve it once and for all. So that's also a non-issue in this comparison.
Insomnia UI/UX is still much better/prettier (Postman is ugly + bad UX).
So the only great point for now is how the data is stored. I don't know why Insomnia hasn't fixed this on their end yet; their sync is so bad because of this.
This point makes me interested in trying out your app but I already have large projects on Insomnia. How can I transfer (import) any of them to quickly give it a go and evaluate? Do you (plan to) support any import feature?