I use the T3s and ego
batteries, also. My T3s coil resistance is 2.2 ohms. Why? because that's what they sold me at a local B&M. I do like the T3s, and own 5 of them that I bounce back and forth between all day. Each sits on a separate battery that is mixed up at night while charging.
Heat comes from the coil getting hot. The coil only gets hot when a voltage is applied. Within a certain range, the greater the voltage, the more heat produced. After a point, the coil burns itself open and no more heat...
I just measured my battery voltage - while vapeing on this setup - at 3.45 volts. I have a tool I made to measure the battery voltage with and also without a load. Vapeing puts the load on the battery. I hit it several times and get good strong vaper each time. But, the T3s does not get hot (or even warm). Your 1.8 ohm coil will draw more current from the battery (and thus more heat) with a given battery.
My conclusion (guess) is the ego c twist battery is applying less voltage to the coil, or is sensing the amount of current being drawn and controlling the amount being allowed to reach the coil by some intelligent circuitry.
I am a tech - not engineer. "What" I can describe. The inner "hows" and "whys" often need an engineer. These batteries are smart items. Not near as simple as an old flashlight. The battery button sits on a small printed circuit that has a lot of smarts built in. Short protection, On/Off selection, and who knows what else.