There are another version of "weak opinions, strongly held", and unfortunately the version I encountered more: "I don't know why and I don't care, but I will do

There are another version of "weak opinions, strongly held", and unfortunately the version I encountered more: "I don't know why and I don't care, but I will do it my way and you can't change it". Your interpretation sounds very much more similar to "weak opinions, weakly held" to my ear.