You don't know if the USB supply is isolated.
A small phone charger style USB power supply most likely is, but a USB connector on a stationary PC connected to a grounded power outlet probably isn't.
Don't assume, meassures first.
Ok, I'll measure it!
For Pete's Sake!
If there is a ground on the USB connector, & a 3 pin plug on the computer, it is connected to the building "Ground" (Protective Earth or PE), just as the Oscilloscope is.
These points are at the same potential & current cannot flow between them.
If you have a PC or Mac with a 2 pin plug, the external metal may take up a voltage halfway between Active & Neutral, but the current available from this will not be sufficient to damage your 'scope if you connect the probe ground clip to it.
The only way you can cause damage, will be to place the 'scope ground clip on a point which is not "ground" as far as the device is concerned.
In that case, you would probably kill the USB circuitry inside the computer, but will not damage the Oscilloscope.
The original situation that brings up these warnings is when someone wants to look at the Mains supply, & inadvertently places the 'scope probe ground clip on the Active line.
This, because of the PE system which connects Neutral & Earth (ground) at the point where the power enters the building, will place a dead short circuit across the Mains supply, drawing a lot of current, until the Mains fuse, Circuit breaker, or, if you have one, RCD drops out.
Note that "getting it the right way round" & putting the ground clip on Neutral is, also, quite rightly, frowned upon, as you have made a second Neutral/Earth link.
If there is something drawing a lot of current close to the power socket you are looking at, due to resistive losses in the wiring, there may be a substantial difference in voltage between Neutral there, & Neutral where it connects to Earth at the power entry to the house.
This may also be able to cause enough current to damage your 'scope, especially modern DSOs where the ground connection is via A PCB track.
Another situation that could do the same thing is with a fairly high current DC power supply with one side connected to ground.
Put the probe ground clip on the non grounded connection, & again, damage may occur.
In your case, there is no direct connection to the Mains, & the USB board cannot supply enough current to cook your 'scope.