Why do you say to remove the battery?
I ran FAH on my MBP since mid-2008 to 11/2012 24/7 just with it plugged in with no problems with the MBP. Now I have Boinc running on it 24/7 for RAH and WCG. Only thing I did was get a cooling pad to keep it on.
Some laptops don't isolate the battery when it is fully charged and plugged in, so the battery is constantly cycling.
Obviously yours does not have that problem or you would have gone through a dozen batteries by now.