Does Wintertide Brand with Elemental Focus really still chill?

I mean for all intents and purposes this should not work. Or I just don't understand some game mechanic that's at work here.

Wintertide Brand inflicts chills (otherwise Ele focus couldn't even support it, since Wintertide Brand does not hit) and Ele focus prevents chill from being inflicted.
The tooltip of Wintertide Brand still calculates a chill effect and PoB spits out "Effect of Chill: 22%" (>0) on my char.

I found this old reddid threat: https://www.reddit.com/r/pathofexile/comments/hcbpw2/wintertide_brand_chilling_with_elemental_focus/. I don't get the explanation and reddit is not the safest source there is.

Does Ele Focus rly not affect Wintertide Brand? Why? Or does it only stop one of the two chills (while branded / the debuff after being removed)?

My understanding is that Ele Focus prevents skills from applying elemental ailments on hit through the normal mechanism, on crit or through percent chance to apply ailments (including the inherent 100% chance to chill). Skills which inherently apply ailments through non-hit means (including the various cold DoT skills and the shocked ground of Vaal Lightning Trap) don't have that blocked by Ele Focus. As for supporting the skill, when Ele Focus was first released, I think the only pure DoT non-hit skills were fire based (Righteous Fire, Scorching Ray etc.), so it might just be a case of the description needing updating. Ele Focus should support any skill that deals damage.