Verify is not really telling you whether your Home switches are good or not, what it is saying is the axis is out of position with reference to the home position as defined by the homing procedure.
Now it could be your home switches are not accurate and the axis was actually where it was or it could be the home switches are fine and the axis had lost position or lastly it could be a combination of both.
Simplest way to see would be Home, jog off relatively slowly and then Verify. If it is out then you will know your home switches are not the best, if it is not out then it is likely missing steps issue.
Regarding 0.06mm being good, all depends on the type of machine and how much you rely on using the Home switches as a reference, for me, on a metal cutting machine, it is not great, in fact it is poor. On a wood router however it is probably more than is required.
Hood