Yes! The Aqua One records and shows what your child does in incognito mode no matter what browser they are using. You can view these videos anytime on your Parent Dashboard.
You can use Google Family Link on Chrome to disabled Incognito mode.
Open the Family Link app.
Select your child.
On the Settings card, tap Manage settings and then Filters on Google Chrome.
Tap Manage sites and then Approved or Blocked.
In the bottom right corner, tap Add an exception.
Add a website or domain.
In the top left, tap Close and your done!
To read more on what Google Family Link can do for your child, click here!