While it would be nice, that is kinda the whole point, you are fighting an ice-being? it is trying to stop you from defeating it.
If we just make it straight afk with no interruption, it really isent a minigame anymore, its just a
"chop,(fletch),burn, repeat"
#No interruption Wintertodt
sacred jacinth
red kindle
Personally I think the Warm gloves should be given the additional benefit of preventing interruption whilst Fletching.
I know they provide warmth, which is thematic and technically useful. But they don't feel anything particularly useful over e.g. Canifis coloured gloves. Which just makes Warm gloves feel a bit useless.
lyric holly
Instead of stopping your actions, it could delay them by a tick or two for the next 2-3 actions