Thanks for the info and the experiences!
I'd be more than happy to say Hard Disk Sentinel itself increased the transfer rate
But no, I suspect it is a coincidence only.
Maybe there was some caching issue with the drive, the controller (where any of the drives connected) and/or their driver.
If I'm correct, launching Hard Disk Sentinel (and the status/health/performance detection) may caused that the driver could flush its internal cache and after perforing the status information, it could synchronize the data flow again, which increased the performance.
In Hard Disk Sentinel, by the "Performance" page, you can monitor the current transfer rate of both drives, so if you see drop (again), you can immediately check which drive is slower than expected (where the Disk Activity % is 100%, confirmining that it has no idle time - while the other drive may have idle time, so waiting for the other). This function designed exactly to reveal possible bottlenecks, related to one of the drives (or their connection / controller).
External drives (usually in a smaller, closed case) usually become very hot - especially if it's a 3.5" drive and especially if the enclosure has no active cooling. That may also cause unstable operation or even degradation, so I'd recommend to pay attention to its temperature - especially during intensive file operations (like moving TBs of data between the drives).