My Connections: User should not disappear in the search results after clicking "Connect"

When you click the avatar at the upper right corner and click My Connections, you can search for people and click "Connect" to send a connection request to the user. The current behavior is that when you click "Connect," the user you have sent a request to will be removed from the search results. I think it would be natural to change the button of "Connect" to "Cancel Request" for the user rather than directly remove the user. Actually, if you click "Back to My Connections" and search for the same keyword again, you will see the user you have sent a request to in the search results and the user only has "Cancel Request" button instead of "Connect" button. This should be the expected behavior when you click "Connect" for any user.