I would assume so, but probably a bit more slowly than it would in the warm growing season. Right now it is diverting large amounts of energy to growing the spike and flowers.
It's growing a flower spike it's still small, not even an inch..
Maybe it's getting adjusted to the new environment because there's no sight of new roots growing at all; actually, some I can see 'breaking' at somwe points but still the actual root (the thread) is intact.
Im a bit scared,wondering at what point I should considering taking it off their mount! It just looks very nice mounted!
You should use a material that holds moisture like sphagnum moss those wood string you put doesn't suitable for mounting unless you will water or spray twice a day. Which is extra unplayable work😔. Since you already put those wood string keep them on and push sphagnum moss between them. But keep it space for air! GOOD LUCK!