Service note 12 contains descriptions of most of the Firmware updates.
Ver 7 to 8 fixes this very old PERIOD calibration bug, which I already found in 1990 on my first 3458A.
Therefore, it is reasonable to update to 8 or 9.
Ver. 9 only changes timing of one of the ACAL procedures, so you should use this latest version.
Check if you have a 6 EPROM board, or already the single EPROM one. I wonder if Illya also hosts latter version.
Also check the date code of the nv-SRAMs, whether they have to be replaced soon, at least make a download of the CALRAM.
Frank