Yes it does have a loop of copper under the solder mask 
it’s deposited into the PCB substrate with clear division and spacing between each loop of the coil, unlike enamel coated wire which is basically just thinly coated with enamel stuck together with nothing but that thin enamel coating between. It makes for tighter coils of copper but the enamel is not strong enough for this kind of application where there is constant small movement and flexing.
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