It's an interesting observation to link programming culture here to broader internet culture. I wonder, if "screaming snake case" for consts was, at some point in time, purposefully associated with "danger" since earlier programming languages maybe had no way of asserting constness other than by naming convention, i.e. DANGER_IF_YOU_MESS_WITH_THIS_CONST. :)
I also think that languages like Pascal or earlier Basic might have been involved - languages where keywords are in CAPS. Here, instead of danger/shouting, caps word always read for me as "building blocks", sort-of like pillars in an ancient building. :) Might be, that caps for consts also came by giving those language element more of a "building-block" feel.
It's always interesting how some aspects of language intuitively get carried over across to other languages with slight semantic shifts. And I'll certainly watch out more for sloppy caps usage in some less const-aware languages like Python from now on. :)