Bearing swing (rotate points)

Our cadastral system uses azimuth bearings usually orientated to grid north (true north) on meridional circuits ( https://www.linz.govt.nz/data/geodetic-system/datums-projections-and-heights/projections/nzgd2000-meridional-circuits) however older surveys are not always orientated in terms of the current grid north (usually between 30" and 2' different so the old boys did pretty well!).

We typically do traverse sheet pre-calculations in 12d software from the old plans and upload a coordinate file to the GNSS controller but sometimes you get out in the field and after observing 2+ old marks?ÿ you can see the distances are correct but the old bearings are out by a consistent amount to the current grid north bearing.

We often do single point calibrations to translate a "here" base position to be in terms of the true grid coordinates based on a reliable old mark found (and then checked onto at least one other).?ÿ What I'd like to be able to do is to be able to "rotate" the pre-calculated points (without scaling them as the distances are correct within survey tolerance) to match the true grid bearing so I can work in terms of true grid bearings. From what I can see from most of the software's you generally have to do it the other way around where you "rotate" the coordinate system to match the pre-calculated points??ÿ The idea is to avoid the current practice which is either guesstimate the differences when placing boundary monuments or going back to the office and redoing the traverse sheet calculations with the corrected bearings and heading back out again

1.?ÿ Am I on the right track with the solution?

2. Are there any controller softwares that can rotate the pre-calculated points but not the observed points in the controller on the fly?