I have an IPV D2 which has been great. It doesn't use the same chip as the IPV3Li you are talking about. When it comes to temp control I love the way my rDNA40 works. It obviously locks the resistance in and you can set the temp in Fahrenheit and use watts. It then gives you the real time wattage output which throttles back a little if you reach the set cut off temp. The IPV D2 says you need to lock in the resistance but I'm not sure it actually does, since I see it fluctuate. The output power is in Joules, not wattage, so I am not sure what I am aiming for, and there is no real time output displaying on the screen, except the ohms which fluctuate. All in all the rDNA40 has been better for me with temp control. Maybe the IPV3Li is more similar to the DNA40 chip, but I dunno. This is just my experience so I would recommend cracking a beer or something and watching a few youtube videos on both and see what really appeals to you.
ETA: When I say the IPV D2 has been great it has. But I use it for work and only in wattage mode. Great battery life on a .64 ohm coil at 23 watts.