Pin order differs in reality for my chip
Usually I tell which side is which by the name positioning


Totally wrong. You tell which is the first pin by looking at the dot on the IC package. Look at the package from the top, with that dot / marking on the left and pin 1 is the one from the lower left. Starting from here, pins are numbered counter clockwise.






  it differs from the pin order schematic, where two pins have switched sides


A schematic is just a schematic, it has nothing to do with the real pin order. Usually, pins with related functions are grouped together to draw a good looking and easy to understand schematic.

Also think about this: you have a 0.25 W and a 10 W resistor. Both have the same schematic symbol. On the real PCB, the first has a 10 mm footprint, and the other has 22-27 mm footprint.