Error in Postman Connecting/Proxying via Burp Suite:
Burp will only send HTTP/2 requests if it has been told by the server that HTTP/2 is supported. After setting the configuration in proxy options to allow only HTTP1.1, the both API requests behaved as expected.
How to Proxy via Burp Using Postman:
Ensure SSL Verification is toggled Off in Postman Settings as follows:
Set the Postman proxy Settings where System Proxy is off and Proxy Settings are set to the Burp Proxy. In my case it is 127.0.0.1 and 8080 as LPORT.