With all of the illicit Internet activity these days, I was concerned when Eagle5.11 requested internet access whenever it was launched. After discussions with Tech Support, I found that this is due to the "Daily" default setting in Help - Check for Updates.
Now that I know that this is why an Internet request was made, there are no problems. Therefore, for the peace-of-mind of new users, I would suggest that the same "Checking for Updates" window that appears when you manually select Check-for-Updates is also launched whenever the program Automatically checks for updates.