What all this is doing is using the battery - atty combination to change the power of the device, thus changing the power of the vaporization of the juice. It is simple ohms law, dealing with voltage (V), resistance (R) (the symbol for ohms is Ω), current in amps (I), and power in watts (P). Ohms law states V=I*R, so manipulating it you get I=V/R. Power law is P=I*V, so, knowing the voltage and resistance you can determine the power in watts the atomizer is generating, P=(V/R)*V, or P=(V^2)/R.
Power is what you will feel and taste as it vaporizes the juice, just as with a light bulb power is what you see when you turn on a light. You can tell the difference between a 100 watt light bulb and a 40 watt light bulb, as you can tell the difference between a 3 watt vape and a 12 watt vape. Many swear by the 3.7V battery on 1.5 2.0 Ω atty. Doing the math gives you between 6.84 and 9.13 watts. Many like the 5V battery on a 3.0 Ω atty, giving you around 8.33 watts. You can't use a LR (low resistance) atty on high voltage devices because they just cannot take the power, 6V on a 1.5 Ω atty is 24 watts, the atty will burn up.
You also have to remember, the more amps (I) you use the less time you get out of your battery which are rated at mAh (milliamp hours). I don't know the mAh ratings of the Joye 510 or Ego, but generally the smaller the size of the battery, the less mAh it can deliver.
I use a large battery (18650 - 18mm diameter, 65 mm long, the last 0 is for round) that delivers 2600 mAh in my box mod, and it lasts me a couple days. Since I am using a 2.0 Ω atty and it is a 3.7V battery, it runs at (nominally) 1.85 amps, or 1850 mA, thus giving me (2600/1850=1.40) 1.40 hours of on time, and 1.4 hours is a lot of
vaping when a drag is about 3-7 seconds. That works out to about 720 to 1680 drags.
Another thing you have to realize is the battery power (unless regulated) is going to change over the charge of the battery, and this is a large factor in vaping. A 6.0V battery will charge to around 6.5V, and drain to around 5.0V the power on a 3 Ω atty will change from 14 watts to 8.33 watts, At the same time, a 3.7V battery will charge to around 4.2V and drain to around 3.2V, changing the power on a 1.5 Ω atty from 11.76 watts to 8.17 watts, or on a 2.0 Ω atty from 8.82 watts to 5.12 watts.
That perfect juice on a fresh charge may be weak as the battery looses it charge, and the perfect juice at a low charge may be harsh or flavorless at full charge. The trick is to find the happy medium.
Variable voltage devices allow you to find the sweet spot no matter the juice or atty, I want one myself.
Hope this helps and isn't too confusing,
Jag