The old mech vs. VW vs. TC thread. 5 pages in and no one has gotten a mod warning yet is pretty impressive.
My simple contribution. All 3 provide current to heat up a wire to vaporize juice. One does it by simply delivering whatever current is available from the battery. Advantage, really simple but requires the user to choose the wire and configuration of that wire to something safe and satisfying to vape. The current will change with every draw as the battery discharges and the voltage available decreases.
Second, VW, delivers a constant current to the wire regardless of the battery state (within reason). Advantage, protections to keep the user from doing something really stupid really easily. Second advantage, if your coil/build isn't exactly what you wanted, you can fiddle around with the wattage to make up the difference. It also allows you to use overpriced factory coils in an atty to save you the whole build/wick stuff.
Third, TC. Instead of a constant current, it's adjusted in "real time" to maintain the resistance increase that occurs with heating a wire which is the same as the temperature of the wire if you set it up to correctly know the TCR of the metal chosen. Advantage, dry hit protection (a lot of work for just that, but it's still hyped). Real difference to the first two methods, a constant vape temp for as long as long as you choose to hold the fire button down. With a mech or VW, the longer you hold the fire button, the hotter the vape gets. In TC that doesn't occur. It's a personal preference which you prefer as to vape satisfaction.
Pick whichever method makes you happy.
As for TC and safety of the vapor you're breathing in, the testing and data are still coming in. Common sense, if you heat your VG/PG up way high it will break down to produce VOC, which aren't the bestest things to breathe in. Whether TC is the only way to achieve that in real life remains to be confirmed or not. And it is a completely different issue that's just a distraction to the question what's the difference in the quality of the vape between the three methods we have of heating up that wire.