Read the first bullet point on the HP site and contrast with the temperature of a battery kept in a powered laptop. Spend 5 minutes with your favourite search engine and terms like "remove", "battery", "laptop", "extend life". If you're not hitting batteryuniversity fairly quickly, you're doing it wrong. Both your pasted scenario and the original thread poster's are justified a fortiori.Better than nothing but a couple of issues:
It means don't leave it plugged in for weeks without using it. It does not say to run it with the battery removed. There is absolutely nothing on that whole page that says you should or should not run the laptop with the battery removed. Anyone thinking it says to run the laptop with the battery removed needs some basic reading comprehension courses.
Oh, and Dell. In particular "What does Dell recommend for battery storage for a long period of time?" bullet point "Do not store batteries for long periods plugged into or attached to any power source. This includes AC adapters and laptop security carts plugged into an outlet." The figure of 4 days is given indirectly, but if you note the supporting comments, you'll see that it's a convenience figure suggested - the main point is that keeping your battery warm makes it die sooner and continuously topping it up makes it die sooner.
If you're going to stubbornly reject these points or, worse, suggest that the battery is required because removing it hampers cooling (I hope not even form-over-function Apple would consider a battery as a part-time heatsink), then perhaps you're just as annoyed as we are about Apple and trying very hard to rationalise away the standard capitalist motive.