Any way to throttle calls to a specific API in Chrome DevTools while leaving others unthrottled?

If you can change the URLs, there’s a site http://www.deelay.me/ that is a delay proxy for HTTP resources. For example, if you want URL http://example.com/example to be delayed by 5 seconds, change it to http://www.deelay.me/5000/http://example.com/example.