Calibration is for traceability, they don't do any adjustments or anything like that. For some customers it's enough simply to know that the meter is within spec, as that then validates their own accuracy claims / requirements. I think Dave's video on the mobile Agilent cal lab goes a bit into why customers get calibration done and that the calibration is basically just there to validate measurements made between two separate calibrations are within spec of the instrument. In large part it's just bureaucracy, as most of these instruments will stay in spec with no adjustment for far, far longer than their calibration interval. It serves an important purpose though - if an instrument does go out of spec (breaks, etc.) you'll know about it within a certain amount of time if you're doing regular calibration. You pay more if you want them to note down the actual values and provide them for you.
I'm not clear on what the certificate you received says. In your OP you say the instrument wasn't calibrated at all, but now you say it says it's in tolerance? I'm confused, maybe if you scan the certificate we can help you interpret it?
Another thing worth noting is that the cal lab is generally only going to care whether or not it's within its specified tolerance. Even if you ask them to adjust it to spec, they're not going to touch any ranges that are in spec, even if they're 'out' substantially. I don't know for sure, but it's probably difficult to get them to do so even at special request. As far as the lab is concerned, the instrument is only as good as its specifications and any error within that is entirely inconsequential.
What testing have you done to determine the instrument is outside its specifications?