Yes, assuming ISO 4287 - Rt is the Total height of the roughness profile (peak to peak) and Rz is the maximum height of the roughness profile from the mean.
I suspect that your supplier simply got Rt and Rz reversed..
Going forward - the surface roughness requirements should be specified first by functional requirements and secondly if the functional requirements are not critical then specified by the target manufacturing process (economics does matter)..
For reference, see:
Surface Roughness Conversion