Can you direct us to contradictory documentation?
I have recently read such documentation but I don't remember where. I will see if I can dig it up, but don't hold your breath as it may take a while.
Since you're busy helping us out by beta testing Catalina, I decided to help you out and do some searching.
Verify a disk using Disk Utility on Mac states that
You can use Disk Utility to check a disk for problems, then repair them using First Aid.
and
If Disk Utility reports that the disk appears to be OK, you’re done. Otherwise, you need to repair the disk. (Emphasis added)
"
repair the disk" is a link to
Repair a disk using Disk Utility on Mac, and it states
This topic describes how to repair the disk that started up your Mac.
and
Choose Apple menu > Restart. After your Mac restarts (some Mac computers play a startup sound), press and hold the Command and R keys until the Apple logo appears, then release the keys.
i.e. boot into Recovery.
Coming around full-circle, then, all of that means that
this pop-up either suffers from an exceedingly poor choice of words or indicates that Apple's left hand isn't paying attention to its right hand.
At this point, I guess we need for someone with a disk in need of repair to tell us what happens next.