Authorizer function not logging to CloudWatch

Greetings.

Full Disclosure - I am still very new to AWS.

For my first AWS project, I am creating a websocket connection between my website and my DynamoDB table. Inasmuch, I have created the tables, a Websocket API, and the supporting Lambda functions. Everything is working great.

I then added a JS Lamba Authorizer function (Node 8.10), and something peculiar is occurring: Within the function, I am using simple console.log statements to help me debug an Unauthorized condition. When I Test the function, the logs appear in CloudWatch. However, when I attempt to make a connection from my website, no logs appear in CloudWatch.

All my other Lambda functions - $connect, $disconnect, and the routing functions - all work normally and output their console.log text to CloudWatch. Only the Authorizer function fails to send logs, and yet when I click on the "Test" button, the logs are sent.

I was thinking that there might be some log settings on the function itself, but I'm not able to locate anything other than this entry in the Developer:

Allow: logs:CreateLogGroup
Allow: logs:CreateLogStream
Allow: logs:DescribeLogGroups
Allow: logs:DescribeLogStreams
Allow: logs:PutLogEvents
Allow: logs:GetLogEvents
Allow: logs:FilterLogEvents

Other than the global log setting in the Websocket API, I can't figure out why all my APIs except the Authorizer will log to CloudWatch.

Has anyone run into something like this before, and if so, what did you do to fix it? If not, can anyone give me a hint as to where I can look to debug this issue?

Thank you.