In my experience, it is normal for some oil or grease to be deposited on the stanchions during the first few rides. When the fork is assembled, all internal seals, including the dust wipers at the top of the fork lower legs (through which the stanchions slide into the lower leg) are liberally greased, and usually a little oil is added to the top of the lower legs, i.e. just below the dust wipers. This means that often there is some excess grease and oil, and this gets pushed out during the first few rides. Given that this grease is applied liberally, i.e. the amount is not measured exactly, it is not unusual nor problematic that there is more of it one one side, as long as there is enough of it on both. I last observed this when I installed a Lyrik Ultimate, and it worried me a bit given how expensive that fork is, but it stopped after a few rides when all the excess grease got pushed out. And what I see in the first photo you posted indeed looks like grease.
In fact, and not directly related to your problem, sometimes there is so much grease in the lower legs that it blocks the air flow between the chambers of the air spring, preventing the fork from fully extending. This I experienced on a brand new Reba RL. The solution was to forcefully extend the fork manually, which opened the equalization port and permanently solved the problem.
