In many cases, higher resistance cartos simply have more wraps in the coil.
That means more surface area, so even at similar
total wattage', it's a different experience from an LR atty.
The nice thing about HR gear on VV devices is that you have a bigger curve of adjustment and it's actually possible to take advantage of a wider range of coil temperatures. A LR single coil atty is more like a very short spike...you can get it as hot as it will go really quickly, but there's just not much resolution in there to make a 'detectable' difference between the lowest voltage your PV will do, and the highest amperage/voltage the PV will allow. Unless you're dealing with some pretty nice custom spec atties, LR just has a shorter coil with fewer wraps in it.
Dual
coils are more about surface area. They spread the wattage over more wire. Think of it like running two 40 watt bulbs side by side (less intense heat over a lots of surface) instead of a single 80 watt bulb (more intense heat in a smaller area).
In so far as using higher resistance stuff to get 'better battery life', that totally depends on the battery and how voltage is regulated. Is it bucked or boosted? Is it a high drain battery, or not? So mileage will vary on this indeed.
If you have a bucking VV design, chances are you have batteries that are rated for much higher voltages and amperages, and you're actually choking it all down quite a bit for
vaping purposes. If it's boosted, you might be doing right the opposite (pulsing, maxing the current, or over-working a very different battery chemistry that's built more for speed and less for mah). Again it depends on the type/quality of the battery, and the boosting technology that is used.
Some batteries even have memory in their chemistries....and over time they'll curve out to last as long as possible with your most commonly used setup.
For the most part....with VV, screw it on, tweak it out, and enjoy

The best part of VV, is you can screw pretty much anything you want on it and get working well.
I don't know why...but for me, dual coils do drain batteries faster, even when the theory behind it doesn't make sense. Then again, I tend to run dualies wide open....just because I can

12.75 watts on a dualie is quite pleasant. 12.75 watts on a single coil atty is harsh to me (if it doesn't outright blow out on me after spitting a tongue scalding volcano of half-liquid vape at me).