With no load on the battery (nothing drawing electricity from it), you will see its resting charge value (for instance: fresh off the charger 3.7v
batteries will charge to pretty close to 4.2v). When you attach any device that draws electricity (no matter if it is a flash light bulb or an electric motor or an atty or whatever) and complete the circuit, you have a load value and it is different for different chemistries of battery. This is why IMR batteries are popular, btw.
Batteries can only discharge at a certain rate. When you draw electricity and convert it to something else (in the case of an atty or a carto, you're converting it to thermal energy with a nichrome coil resistor - in the case of an electric motor, you're converting the electricity to magnetization and then motion), the battery can only discharge at a certain "speed". - Your load voltages are indicators of that speed. - When you get a load voltage of 3.58v feeding a 1.5 ohm coil, that's just how fast the electricity can come out of the battery in to a circuit with a 1.5 ohm resistor.
Those numbers you posted tell me something. The battery that was able to produce 3.58v with a 1.5 ohm atty is almost certainly an IMR battery. Very few li-ons can do that (there are a couple - the AW 2600 can do it and most of the panasonics can do it, but trustfires, ultrafires, etc can not).
It shouldn't matter what PV the battery is in. If you use the same battery and same resistor on either device, they should give you the same readings unless something else is adding resistance (like a dirty connector, ground spring not making good contact, etc). So, that "hours old battery" from the SB put in the REO Grand should give you the same load value and same rest value in either device and so should the fresher battery.
Knowing the load volts lets you calculate the actual watts you are producing. The rest (unloaded) value of the battery charge really doesn't mean anything other than whether or not the battery is full. The load value is what you would plug in to the ohms law formula to calculate watts etc. Ohms law doesn't care about the resting battery charge. it only cares what happens once the circuit is complete and electricity is moving.
Hope that helps and didn't just confuse the issue further.