I think it's a requirement to have it printed on the battery...cos of disposal issues.
I have to say that if it isn't labeled, I'd be scratching my head to know how to identify it. Looking it up would be cheating
Both my wife and I run our machines with the battery removed - the heating issue just one of the reasons. If we're doing something mission-critical, then of course the Backup PS is a factor and it goes back in.
Remember, not only is the battery being cycled, but the power systems in the L-T are being hammered on full charge. Just about everything in these little computers is optimized - in an effort to make them more compact with every generation.
Keef talked of a heating problem that affected my wife's model of HP. I seem to remember that it was causing dry-joints. Bad show that, after all their years of production experience.