I would say yes, but now I'm going to confuse the hell out you - the CDI box is connected to the battery.
The CDI box is grounded and ground is connected to the neg side of the battery. Now this in itself is not out of the norm, but the fact that electricity flows from neg to pos make an astronomical difference to the components. Years ago, positive ground systems were common (my 63 Ford was a positive ground and my 72 Triumph motorcycle is positive ground). Whether it is pos or neg ground is determined by the charging systems components. Now the 63 Ford could have been either pos or neg ground as it had a DC generator charging system - all that was necessary to change the ground was to connect the battery in reverse and polarize the generator and it was fine with that, but the heater motor would run backwards, the radio would not work and the electrical gauges would all read zero except the ammeter - the am meter would show discharge when charging and show charging when discharging.
The Triumph motorcycle was much easier the change as it used an alternator for charging. Just connect the diodes in reverse, swap battery wires and install a correct polarity voltage regulator.
The CDI unit should show continuity on a or some terminals, but polarity and values are not published as continuity is not an accurate test. When you shorted the stator and got an arc, it would not affect the ignition unless you shorted the battery charging coils to the CDI charging coil - shorting the two coils together would send battery voltage to the AC CDI and burn it out.
Now as far as reading a resistance when holding the meter leads 'real tight' to the terminal, that is normal also - you were probably reading your body's resistance. Try holding the meter leads between your thumb and a finger of each hand and squeeze real tight - get a reading? Try wetting your fingers and read the resistance. Now put some salt on your wet fingers and read the resistance. It keeps dropping - right? The moisture in your skin aids the conduction of a current from one meter lead to the other and adding an impurity like sodium (salt) makes that conduction even better. A person with dry calloused hands is not as sensitive to an electrical shock as a person with soft moist hands. Some women may get shocked from a 9 volt battery while most men may not get shocked from a 24 volt battery, but AC voltage is more easily felt than DC voltage. If you get a DC shock it is more painful than an AC shock.
My son is an electrician by trade and he has found out he can handle 120 AC wiring without getting shocked, but his mom can be shocked with 24 volts AC. His mom was complaining about getting shocked whenever she pushed a doorbell button - he didn't believe it, but when he started testing doorbell buttons, he found out many had 24 volts AC on the metal ring around the plastic button. While he couldn't feel it, he could measure it, but his mom with soft moist hands could feel it. She said it wasn't painful, but she knew she would feel it before she pushed the button.
Anyway - there is no test for the CDI unit other than replacing it with a known good unit.