I disassembled it, including the oiler side, before I read the part "do not disassemble." There is a large parabolic O-ring in good shape, with an obvious cavity to put it. There is a fat blue O-ring that attaches to a short metal shaft which is part of the sensor system for oiling. Although I couldn't find good details in an online search, there appears to be a vertical shaft that moves up and down with each piston pulse, contacting the horizontal shaft mentioned above. The count from the motion of the latter, signals amount of oil flow, and the alarm stays silent (and vice versa). Did not see any other o-rings, but might have dropped it while disassembling.
So far so good. However the diagram below seems to show a different O-ring on the oiler side (all the below links are from same source - so should not be conflicting, but they are). See little O-ring [callout 22] in red:
- But the kit shows a blue O-ring that is a perfect fit for that oil-side sensor shaft above, except the kit says DO NOT disassemble oil side.

Is there another O-ring--maybe this one--that is supposed to be on the oiler side?