First you were trying to measure the current coming from the battery, so in this context, @MrChips is talking about that. If the battery became a load (no longer a voltage source) it would be because a different, higher voltage source was in the circuit, and then you would be measuring the current from that one. That is, being a battery doesn't determine whether it is a source or a load.I kinda take issue with that statement because a battery can do both. A solar panel ok fine but a battery takes charge then dispates wash repeat. Not trying to be nit picky electronics are confusing enough though eh.
Second, you can certainly put current into a solar panel, though that's not what they are designed for. What you get shouldn't be so surprising...
Similarly, an LED will produce a voltage if light is shined on it. Things tend to work in both directions. The laws of physics are very symmetrical.
[EDIT: I wanted to add the photo below because it's pretty cool, and I found it after I wrote this.]
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