How does this value compare to the axial float check? This may not be too alarming.
Depending upon the design of a gas turbine, the thrust balance may change from one side (of thrust) to the other during a start and the loading; the manufacturer would have such details. Data from your other turbines could help explain this.
You should measure the axial float accurately and repeatably. To do so one needs to push evenly and consistently. The manufacturer may have a procedure for this. I have seen manufacturers with some variance on their own measurements. A good measurement will help evaluate your data.
Comparing to other turbines can help give a reference. Tracking vs. loading can determine the typical affect for this design.