Aside from the initial load that all Electron apps suffer from, Insomnia feels pretty snappy to me. Granted, I only have a few dozens of API that load 20KB of JSON max.
I love Insomnia and usually recommend it to others.
But I remember a few months ago I was developing a basic API and testing it through Insomnia. At first, I almost had a heart attack seeing the time it took to answer, between clicking "send" and getting a response back. All this running on localhost, on an old but fairly powerful box (i7-3930k, 64 GB ram). My first reaction was I must have had some sleep() lying around.
Then I looked at the details, and the actual time taken handling the call, etc, as reported by Insomnia was a few ms, all the rest was... I don't know what.
But I do agree than other than that, when interacting with the app itself (switch requests, type, etc) it feels snappy enough. I usually use it alongside IntelliJ, which while fairly fast, isn't terminal-level instantaneous.
https://insomnia.rest/