No.
The label is intended to reflect only amps from the utility. There is not even a requirement for X/R ratio.
Several utilities already provide this information in their service manuals.
From Xcel Energies (my emphaisis):
Tables IA through V in this Section show the available RMS symmetrical fault currents that may be expected at the
secondary terminals of distribution transformers. Each fault current value listed in the tables is based on the lowest
percent impedance transformer that might be set initially or as a replacement. No primary source or secondary line
impedance has been included since it is generally relatively small, may change, and cannot be accurately forecasted.