Baggage handlers are not paid by baggage weight, so that does not make much sense. Jet fuel consumption, on the other hand, is heavily impacted by airframe weight.
I had a bike bag weighing 27kg and a second piece weighing 15kg. Well under the 46kg I could take on for no charge.
The airline (Qantas) wanted to charge me an overweight charge for the bike bag - but were happy for me to park in front of the counter for 5 minutes while I moved heavy items between bags to balance them out.
I didn't really care; it was a financial motivation to keep my weights at an easier to manage level.
I imagine that overweight bags require different workers, who might be on a different pay scale - and so there is a cost to moving 27+15kg vs 22kg+20kg.