I think viewing this as a fallacy is a bit of a straw man. There are very few people who believe in a "Right Way (TM)" to write programs (although those people are probably over-represented in the comments section of online news posts about functional programming).
> Maybe a trap for contemplative people?
FP is hardly unique in this regard. Were you around in the 1990s? Recall that the OOP crowd got pretty philosophical there for a while, with elaborate treatises on software organized around some obscure book about architecture. ;-)
> The ultimate goal of software is to build something useful.
It's worth noting that the ultimate goal of functional programming (as a research field) goes beyond building software; (typed) lambda calculi are an entire alternative model for studying computation. The science of computation has many applications beyond software development.