"There is very little all programmers should be required to have in common"

Especially the closer one gets to domain specific things, yes. But I think it is beneficial to all who develop software to realize from time to time how deep the rabbit hole of implementation specific complexities goes, mainly so they understand how to design their systems without stepping in any "obvious" implementation specific landmines.

But in general I think your post validates the claim, since I really need to be aware of of all the traps in the floating point number representation to do my programming job properly :)