Yes, that's how it is. According to the current status, the wall is covered with 2x12.5mm drywall.
I had also seen the HM anchors, but then decided on the even stronger Knauf or Tox anchors. However, I am not worried that the anchors will not hold, but rather that the drywall will not withstand the load. Looking at your graphic, this means a load depth of 20cm for a 40cm deep wall cabinet, resulting in 85kg/m. So for my 2m, that would be about 170kg for the wall cabinets.
Theoretically, wouldn’t it also be possible to attach the mounting rail for the kitchen cabinets to the metal stud with a suitable screw, in addition to the anchors? I can still see the filled screw holes for the drywall boards...