“...in classrooms around the world, where students are taught that the rate of decay of a specific radioactive material is a constant. This concept is relied upon, for example, when anthropologists use carbon-14 to date ancient artifacts....”
If it’s not a constant than maybe they will consider that carbon dating can be unreliable.
It would mean that carbon-dated objects are older than they appear. This has always been the direction with carbon dating correlations of tree ring matter. The wood tends to be older than suggested by C-14 dating.