Realy?? That would be strange, as setting the z-height solved problems with a mini in this thread.
The initial layer thickness on the other side should only change the height if the first layer, but if z-offset is off then the initial layer will also be also off by the same value… 
@TD-Linux: You might try to set the Z-offset to a fixed value, say 0.5mm. Then slice the object and save the gcode, then slice again but select a TAZ 5 in the machine settings. Compare the gcode files, at which Z height the print starts?