Not familiar with the Bobcat, so going out on a limb here. But first: why only a 150 bar fill? I would think that the reg is set at around 140-150bars if .25 or higher caliber. You get to shoot about 5-6 shots and then it falls off the reg. thus your velocity starts to change (most likely drops). A chrony should confirm that.
Let me throw some possibilities out there so at least those can be eliminated:
This is the least likely: There may be a case when the air tank is filled and expands it may affect the barrel band or other tank mounts which may in turn affect POI. This may be only affecting a few shots while the two metals push on each other. When the pressure drops below a certain point the metals stop touching and no POI change anymore. Or something else is causing clipping above a certain air tank pressure/pellet velocity. Again...just a speculation.
Another thing, again just a guess. Certain pellets may change POI with a different velocity behind them. This POI can be a drop and/or in some cases (because less spinning stability) it may curve/spiral which will move your POI left or right. But for this to take place I would think that the velocity change would have to be quite large.
Did you try to fill to the max 220bar or 250bar and see if it starts to behave at the same pressure point every time? Or it only does it for the first few shots regardless of pressure? If it only does it for the first few shots regardless of pressure, then I think there is something with the regulator....but no idea how.
I hope others with more experience chime in...