No, and it's normal.

I should probably clarify my heat comment a little bit: this is heating as compared to a laptop. Most modern laptops tend to become thigh-scorchingly hot while in use and during charging. The amount of heat generated in a laptop in-use and charging will have a strong effect on the life of the battery.

We don't generate the same sort of heat levels (not even in the same ballpark) in our ITs as a laptop, so the effects of leaving it plugged in aren't nearly as strong.

Honestly, estimating the life of the device at something aronud 4-5 years, I would just go ahead and use the battery in whichever way worked best for me. At worst, you're gonna drop $30 for a replacement battery a couple years down the road if it goes bellow your acceptable power levels, and at best, you'll go through the entire life of the device without having to worry about charging cycles or when to plug or unplug your device and still have an acceptable power level.