Yep i was about to say test with the test button only your tester will not work on Non grounded outlet, Outlet is still protected with GFCI ( as long as you tried it and it worked)
If properly tested, using the GFCI Test button, and did not trip, then write in your report that the GFCI receptacle did not respond to the Test button.
A grounding connection is not required for proper function of GFCI protection. The only issue (assuming the internal test button opens the circuit) is that there is no label on the receptacle.
In my town, if you remodel the bathroom, the electrical to the bathroom must be upgraded, ie… GFCI.
Same for the kitchen.
I am now running into some AHJ’s that are requiring some homes with K&T to upgrade the circuits (needing GFCI by todays standards) to upgrade those circuits when performing Panel upgrades (which we see a lot of around here).