No need to "warm the wood up" then?
Did these other guys with warming up theories say why they do this? I mean why is warming up a bow supposed to be necessary?
Modern poly glue, hide glue, and epoxy are very strong, and slightly flexible, and shouldn't have trouble until it gets WAY too cold to be shooting a bow outside.
I'd be more afraid of a bow not having been shot for months drying below 5% MC in super dry, cold air, or of wood shrinking slightly by overdrying and trying to pull up the glue line. THAT would be pretty obvious visually, and would take a very dry environment and wood that was wet to begin with, maybe.
I think you are fine....glass laminated bows I have shot down to zero F, and some wood lams just above that.