@Azsurveyor ,
first off the gfci is hooked up wrong. secondly the power working intermittently is loose connections to the breaker in the panel
the gfci has a line side which is the wire coming from the panel (to identify this wire continuity test the neutral white wire and the ground bare wire and they will show continuity), and the load side is the wire going to the other receptacles in the house that provides gfci protection to them after the gfci outlet.
sounds like the electricians came to your house to fix it took your money for a few minutes and left, to prevent this next time you could always request them to replace your gfci receptacle outlet with a standard outlet and make them put a new gfci breaker in your panel to provide the protection instead.