Yup, 'Burp' refers to the free version of 'Burp Suite'. I don't use Burp Suite anymore though. Some months ago I started using mitmproxy (https://github.com/mitmproxy/mitmproxy) due to it's Python scripting API. I have never looked back since then.
I work with it to do reverse engineering of APIs for apps on Android icw Frida.