I notice that when the local calibration lab replied to my request for a quote on calibrating a multimeter, they returned a quote for "NIST Certification" (emphasis mine). Perhaps that is their way to show they do not mean to calibrate w/adjustment, but only check against a standard.
Americanos have the most confusing ways of referring to calibrations
"NIST Certification": probably/usually means that calibration lab references are calibrated at NIST
"NIST Traceable calibration" references are calibrated at NIST or the reference of reference is calibrated at NIST --> papertrail and traceability leads to NIST.
To make things more confusing there are calibrations and "calibrations"
1. "OKAY sticker" -calibration: someone has somehow determined that calibrated meter is probably within manufacturer specifications.
2. "calibration with data" as above but you get calibration certificate with measurement results.
3. Z540-1 Accredited calibration: Independent third-party(like
http://www.a2la.org/ ) has verified the calibration laboratory to work according to (American) standards.
4. ISO 17025 Accredited calibration: Independent third-party(probably member of ILAC-MRA
http://ilac.org/about-ilac/ ) has verified the calibration laboratory to work according to (international) standards.
5. NIM- National Institute of measurements calibration: even more complicated case.
Option 4. is internationally the most widely accepted option.