Regarding your concern on isolation, especially when the scope is battery powered, that scope is not designed to be fully isolated starting from the probe to the circuit and the external connection like to USB or monitor, they're all connected to the same ground.
If someday you've to work with mains or high volt circuit, just remember the dangerous at the probe's ground clips, both are still shorted together. Also while working, do not un-plug or plug the probe since there are exposed metal at the bnc connector, and also watch other exposed metal at the scope, just don't touch it.
Of course the best practice is to avoid mains / high-vol circuit until you've fully understand the risks involved.
Below picture to give you an idea how a fully isolated scope was designed and made, and yes, even the bnc connectors where you plug the probe has the plastic isolation for the metal part.