Hello Axel,
Believe me, I'm anal about cartridge alignment...
If the generator isn't mounted dead center inside the cartridge housing and you can't shift it by 0,3mm, then you'll have to rotate it and slide it forward or backward, depending on the generator being closer to the right side or the left side of the cartridge body.
BUT, the magnitude you described will cause an error so small as to make it near impossible to correct for it reliably and repeatably.
As an example, let's assume your cartridge generator is so far offset(sideways) that it causes the actual offset to be reduced by 0,5°(a larger figure than what can possibly result form generator displacement). Your eff. length is shorter than "normal"(let's say, by 0,3mm), if you have that cart mounted in an arm with fixed holes.
Here's what you get(SME V specs as a base):
Unaltered:
eff.L.: 233,15mm, Null points 66 and 121, average distorsion 0,42%
Now it gets interesting: distorsion at 61mm(inner groove area): 0,54%
Reduce the offset due to shift by 0,5°:
eff. L.: 233,15mm, Null points 71,4 and 111,8mm, average distorsion 0,389%
Distorsion at 61mm: 0,95%%
Additional compensation of eff. length due to shift, -0,3mm:
eff. L.: 232,85mm, Null points 71,8 and 111,1mm, average distorsion 0,393%
Distorsion at 61mm: 1%
Draw you own conclusions...
My take on this: Most people can make out a 0,3mm difference when aligning a cartridge. VERY few can tell the offset angle(sometimes referred to as "zenith") being off by any less than 1-2° !
It's the inner groove area where this really comes into play.
Cheers,
Frank