I believe the reaction/ is permanent. However, depending on the wood, other reactions (oxidation, UV light) will occur to change the color. The color of the original black locust bowl still contains a slight green tint, but has aged to have more brown/orange tones.How permanent is the reaction and color change?
I believe the color change in white oak is much less over time as ammonia fuming was used commercially by Stickley and other furniture makers for generations.
The discussion could rapidly devolve into chemical composition of different woods and various reactions that occur, but the simplistic way may be to consider how much each species of non fumed wood changes with time.
Here is a picture of the original bowl a year after the fact. No direct sunlight, but it has been in use.
One of the other bowls I originally fumed has more of an orange/brown tint than this one
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