Is there no way to download multiple RDS logs from the GUI :(

You are correct in your observation. Unfortunately, the Amazon RDS GUI (AWS Management Console) does not provide a built-in feature to download multiple log files simultaneously. The current process only allows you to download one log file at a time.

To download a log file using the AWS Management Console, you need to:

1. Navigate to the Amazon RDS dashboard
2. Select the specific DB instance
3. Go to the "Logs & events" tab
4. In the "Logs" section, locate the desired log file
5. Click the download button next to the log file
6. Save the file when prompted

This process needs to be repeated for each individual log file you want to download, which can be time-consuming if you need multiple logs.

If you need to download multiple log files efficiently, you might want to consider using alternative methods such as:

1. AWS Command Line Interface (CLI): You can use the download-db-log-file-portion command to automate the download of multiple log files.

2. Amazon RDS API: You can use the DownloadDBLogFilePortion action to programmatically download log files, which could be incorporated into a script to download multiple logs.

These programmatic approaches would allow you to automate the process of downloading multiple log files, although they require more technical setup compared to using the GUI.
Sources
Downloading a database log file - Amazon Relational Database Service
Downloading a database log file - Amazon Aurora
DownloadDBLogFilePortion - Amazon Relational Database Service