If you're using it exclusively as a desktop then taking the battery out might not be a bad idea. Sure LiIon are good, but they'll last longer not used than constantly being used a tiny bit - I assume. Though you lose things like backup power if someone kicks a cord.
The biggest issue isn't that they are being used when inside the laptop. The biggest issue is that they are way warmer inside the running laptop, and the temperature of the battery greatly affects how fast they age. It makes a huge difference to have the battery at 40-50C inside the laptop or at 20C on a table - or at 10C in the fridge.
The bad thing with Li-Ion is that they age just with time even when not used. This slows down at lower temperatures.

