Security implications of SourceArn (as in AWS::Lambda::Permission)

Question

These two doc pages:  
# https://docs.aws.amazon.com/AWSCloudFormation/latest/UserGuide/aws-resource-lambda-permission.html  
# https://docs.aws.amazon.com/lambda/latest/dg/API_AddPermission.html  
have a note:  
bq. If you grant permission to a service principal without specifying \[SourceArn], other accounts could potentially configure resources in their account to invoke your Lambda function.  
I'm unclear on what, exactly, that means.  
  
Let's say I specify a Principal of "s3.amazonaws.com", and I leave SourceArn blank.  Does that mean my lambda could be invoked by any random person's S3 bucket, if they managed to find my Lambda's ARN and configure their bucket accordingly?  
  
Edited by: SyntaxColoring on May 27, 2020 9:32 PM

Accepted Answer

Answering my own question.  
  
Yes, if you leave SourceArn blank, other accounts really will be able to execute your Lambda function.  
  
I tested this as described here: https://github.com/terraform-providers/terraform-provider-aws/pull/12794#discussion_r431612010

Security implications of SourceArn (as in AWS::Lambda::Permission)

https://docs.aws.amazon.com/AWSCloudFormation/latest/UserGuide/aws-resource-lambda-permission.html

https://docs.aws.amazon.com/lambda/latest/dg/API_AddPermission.html

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