An interesting update on this.
I got a second 2019 note and had a look at it, straight away with UV. I photographed it a bunch of times, confirming that it is phosphorescent.
Here's what happened:
1. Initially the denomination blocks only phosphoresced very dimly, but this became brighter the more I lit the note. My light is 365nm
2. Initially I could not get the security thread on this second note to fluoresce. I tried a long time, no dice.
3. I then inspected the note with a bright white light.
4. I went back to the UV and found a faint blue fluorescence on the security thread. Successive lighting with the 365nm light then made this more obvious, it is an obvious blue phosphorescence.
5. The weird thing is: that thread does not fluoresce at all. It is not glowing whilst being lit with the UV, but it phosphoresces after. I've never seen this before!
This is how it ended up, which matches my first note. This is with all lights out, meaning it is phosphorescence only:

Note that my two 2019 notes were bought from different sellers and one is an AA prefix, the other one is AS.
What it looks like to me: the note has to be illuminated first with a strong white light if the security thread must phosphoresce. But the two green denomination blocks fluoresce under UV straight away and then phosphoresce.