There is a likelihood that lower ohms will heat up faster or make more heat, but we haven't specified the gauge of heating wire being used, so we don't know these things for sure.
We may need to know ohms for battery function, and safety. Batteries for vaping, like eGos, have short circuit protection in them, to cut them off when the load (ohms) gets too low. If that happens, you can't vape at all. In some cases, eGos will shut off as high as anything under 2 ohms, but not often. Most often, they'll drive anything in the 1.6 ohm or more range. For those who use mech, or their own mechanical battery boxes with their own batteries, they really have to know what the ohms are. What you need to know is how low your battery will go on ohms.