I hear the term "stressed" a lot in reference to batteries powering LR atomizers that can draw more amperage then a batteries output. I personally don't subscribe to the "stressed" crowd per se. True an atomzier may be able to utilize more amperage then a battery is putting out, but it can't use anymore then what is there.
I suspect (absent objective testing) that an LR atomizer that is able to draw more amperage then a battery can provide, simply runs less hot then it could with a higher output battery. Will it decrease the number of charge cycles you can get out of your battery by running them at max output for "short" bursts such as we do when using them in an e cig application? Again, something that would need to be objectively and empirically tested.
Keep in mind, an atomizer heating element is virtually identical to a lightbulb in the way it operates. If you take a lightbulb and underpower it, it will simply run less hot (bright). Same goes for an atomizer, if you under power it (by running it with a battery that doesn't have as much power as the atomizer could utilize), it will, in theory, just run cooler then it could with more power.
A lot of speculation and opinions abound on the forums, most absent any controlled testing, much like the Stainless steel myths i had to put to rest with actual testing, so at this point, i too, fall into the opinion cartegory until i can test it, but i suspect my opinion is sound.