Aluminum oxidizes almost immediately in air. It is quite electrochemically active. But, unlike, say iron, the thin oxide layer is protective. That's the main reason aluminum is so hard to solder. They The mixture is also protected from oxygen by the oil and by being in a syringe so the exposed surface is quite small compared to the volume, even if the syringe is not capped.
I bought my Kester solder paste in a tub and transferred it to all plastic syringes for that reason.