You also can't use TC with poor connections, which is what resistance jumps are telling you is happening. But then, wattage mode can also give sudden increases of power in response to unstable resistance readings. Unfortunately, if you have TC on your mod it probably doesn't have voltage mode, which generally avoids these issues, although is still no substitute for good connections.
Edit: unless instead you're getting shorts between the coils. Trying to think why Ni mode would measure different, it might use more/less current to sense, or it could be a limit displaying (NIckel is usually very low ohms) if it says "out of range" when fired (set power limit low enough and trying it won't hurt anything, it's using NI or TI without TC that must be avoided).
As to advantages, I think I'd like something that's more a true temperature regulation, or acts different than my Pico. It's really a temperature protection that you can kind of slam and force to regulate. It's great for unexpected going dry or if you sometimes don't really pull, such as might happen on a lung hit cloud setup. But I'm more likely to be lazy 9 drags out of 10 and yet sometimes want to just blow a cloud and actually use some of that airflow I have dialed in. The device would have to respond to the coil being cooler than normal and crank up some power.